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  #51    
Old February 18th, 2011, 06:14 AM
ShinyMeowth's Avatar
ShinyMeowth
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Quote:
Originally Posted by AdvancedK47 View Post
Now to talk about why exactly you like math, or what you like about it and when did it get you so interested? Is there anything specific that had you hooked?
Mathematics is a beautiful language. There is harmony, and everything follows a logical sequence. It is its perfection that made me fall in love with Math.
Quote:
Originally Posted by Pokemon Trainer Touko View Post
I like maths because I get to go home at math lessons~ The teacher said that I don't need to attend until I get the same grade as the rest of the class~ :3
You get to go home at math lessons? Wow, I really hate the educational system here. Instead of being able to do that, I am subjected to staying there and listen to the teacher rumble about things I already know (or in many cases, that are incorrect). However, I had a brilliant idea yesterday, that completely solved the problem of boring lessons for me. Before going to school, I print out about 10 sudokus, and solve them at the class. It makes time pass much faster, and requires actual thought.
Quote:
Originally Posted by Impo View Post
okay, here's an example;

A motor cyclist makes a trip of 500km. If he had increased his speed by 10km/h, he could have covered 600km in the same time. What was his original speed?
In order to solve a problem using mathematics, you have to understand what each part of it means. Here, we want to find his original speed, "x". If we assume a constant amount of time, "n", we have "x*n=500km", since distance equals time * speed. The increased speed is x+10, so (x+10)*n=600. By solving both equations for n, we get n=500/x, and n=600/(x+10). We then merge these to 500/x=600/(x+10), and solve that:
500/x=600/(x+10)
(5000+500x)/(x^2+10x)=600x/(x^2+10x) (making the denominators equal)
5000+500x=600x (multiplying both sides with x^2+10x)
-100x=-5000
100x=5000
x=50km/h
If you have trouble with any part of that explanation, don't hesitate to ask for more details. What those problems need to be solved, is for you to write them down as an equation, and solving them becomes trivial after that.

Edit: Bah, ninja'd.
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  #52    
Old February 18th, 2011, 09:58 AM
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Quote:
Originally Posted by AdvancedK47 View Post
I am not impressed with the lack of productivity in the recent week.

Now to talk about why exactly you like math, or what you like about it and when did it get you so interested? Is there anything specific that had you hooked?
And then suddenly, the club comes to life.

Why I like maths? That's... quite a hard question to answer, but I'll give it a go and probably write about e^3 pages worth of text.

I felt the need to spoiler it:
Spoiler:
I've always been quite good at subjects like maths and science. Whether that was because I have a logical mind, or because I hit my head when I was small, I don't know.

I like how maths can be both abstract and practical at the same time. You can learn about geometry and topology, and apply it, or you can learn about number theory, and just marvel at how pieces fall together like a jigsaw.

There's also the challenging side, where I'll see a difficult question and try to solve it. I find that I enjoy it more when there are more steps to work out, and that I won't know what to do for a bit, but eventually I get a "Eureka!" moment.

There's also the pure beauty of mathematics itself. How numbers can just... fall into place. How the fibonacci numbers, when put into a fraction, solve the equation: a/b = (b+a)/a. And how when you flip the fraction, you get a number that is 1 less than your first number, AND its reciprocal. I just got a Eureka moment from that.

I find as well, though, that I like how equations have a very limitted number of answers. 1 + 1 will ALWAYS equal 2. Always, always, always except for binary and unary. That's something that I don't like about English, where any answer can be made valid. In maths, everything is black and white. It either is or it isn't. At least, that's how I feel about it.

And finally, my friends are sick of me saying this, but maths is the basis of everything. "All living things are biology and all non-living things are chemistry or physics. Biology is all chemical reactions. Chemistry is all reactions of particles. Physics is just maths."
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  #53    
Old February 18th, 2011, 05:17 PM
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thanks for the help, smile and shinymeowth

i think i get it now
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  #54    
Old February 18th, 2011, 06:04 PM
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Behold some questions from todays test for me, i got all the right answers but im just gonna throw it out there for you all. (As Quoted directly from the test):
Spoiler:

1) Algebra
a) Given that:
x+2y= p
3

Express y in terms of x and p

b)i) Solve x^2 -13x-36 = 0
b)ii) Hence find the two values of t ∈R for which

((1/t + 2)^2] -13(1/t + 2) + 36 = 0

c) The length of one side of a rectangle is x+4, The area is x^2+16x+48
i) Find the expression of x as the length of the other side.

D)
_1_ + _1_
x+1 . x-1

i) Express in its simplisted form.
ii) Hence if the equation equals 3, Express your answer in the form of A+B10 Where A,B Q.



...Have fun~
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Last edited by NurseBarbra; February 18th, 2011 at 06:08 PM. Reason: put in an a in the " Directly"
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  #55    
Old February 18th, 2011, 06:15 PM
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Quote:
Originally Posted by ShinyMeowth View Post
Edit: Bah, ninja'd.


Quote:
Originally Posted by I like Pokemon (...) View Post
Spoiler:

There's also the pure beauty of mathematics itself. How numbers can just... fall into place. How the fibonacci numbers, when put into a fraction, solve the equation: a/b = (b+a)/a. And how when you flip the fraction, you get a number that is 1 less than your first number, AND its reciprocal. I just got a Eureka moment from that.
Eh...? Explain.

Quote:
Originally Posted by I like Pokemon (...) View Post
Spoiler:
I find as well, though, that I like how equations have a very limitted number of answers. 1 + 1 will ALWAYS equal 2.
Didn't you get that 1+1=4 once? XD

Quote:
Originally Posted by I like Pokemon (...) View Post
Spoiler:
And finally, my friends are sick of me saying this, but maths is the basis of everything. "All living things are biology and all non-living things are chemistry or physics. Biology is all chemical reactions. Chemistry is all reactions of particles. Physics is just maths."
The quote kinda contradicts what you're saying....

Quote:
Originally Posted by Impo View Post
thanks for the help, smile and shinymeowth

i think i get it now
Glad to be of help =]
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  #56    
Old February 18th, 2011, 11:41 PM
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Spoiler:

1) Algebra
a) Given that:
x+2y= p
3

Express y in terms of x and p
(x+2y)/3=p

*3

x+2y = 3p

-x

2y = 3p - x

/2

y = (3p - x)/2

b)i) Solve x^2 -13x-36 = 0
(13) +- sqrt(169- 4*1*-36)
all over 2

(13 (+-) sqrt(313)) / 2

b)ii) Hence find the two values of t ∈R for which

((1/t + 2)^2] -13(1/t + 2) + 36 = 0

(-3 (+-) sqrt(6))/6

c) The length of one side of a rectangle is x+4, The area is x^2+16x+48
i) Find the expression of x as the length of the other side.

x+12

D)
_1_ + _1_
x+1 . x-1

i) Express in its simplisted form.
(2x)/(x^2-1)
ii) Hence if the equation equals 3, Express your answer in the form of A+B10 Where A,B Q.

I keep getting non-rational answers >__> (-sqrt(2)+sqrt(10))/(2*sqrt(2))
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  #57    
Old February 19th, 2011, 06:03 AM
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ShinyMeowth
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Quote:
Originally Posted by AdvancedK47 View Post
Spoiler:

(2x)/(x^2-1)
ii) Hence if the equation equals 3, Express your answer in the form of A+B10 Where A,B Q.

I keep getting non-rational answers >__> (-sqrt(2)+sqrt(10))/(2*sqrt(2))
Spoiler:
(2x)/(x^2-1)=3
2x=3(x^2-1)
2x=3x^2-3
-3x^2+2x+3=0
x=(-2±√(4+36))/-6
x=(-2±√40)-6
x=(-2±(√4*√10))/-6
x=(-2±2√10)/-6
x=(-1±√10)/-3
x=1/3 ±√10/3
A=1/3, B=1/3
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  #58    
Old February 19th, 2011, 08:51 AM
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Quote:
Originally Posted by ShinyMeowth View Post
Spoiler:
(2x)/(x^2-1)=3
2x=3(x^2-1)
2x=3x^2-3
-3x^2+2x+3=0
x=(-2±√(4+36))/-6
x=(-2±√40)-6
x=(-2±(√4*√10))/-6
x=(-2±2√10)/-6
x=(-1±√10)/-3
x=1/3 ±√10/3
A=1/3, B=1/3
It was a good attempt if you consider it was 2 AM when I did this... >__>
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  #59    
Old February 19th, 2011, 09:17 AM
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Quote:
Originally Posted by AdvancedK47 View Post
It was a good attempt if you consider it was 2 AM when I did this... >__>
Which reminds me of an incredibly stupid mistake I made on a math test, due to thinking of Pokemon the whole time. I had finished the whole excersize, and had to evaluate 2*5^2. So I went on and automatically wrote 2*5^2=2*20=40, and gave the paper to the teacher, only to realize what I had done when the bell dismissed us, but then it was too late.
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  #60    
Old February 19th, 2011, 07:34 PM
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Quote:
Originally Posted by NurseBarbra View Post
Behold some questions from todays test for me, i got all the right answers but im just gonna throw it out there for you all. (As Quoted directly from the test):
Spoiler:

1) Algebra
a) Given that:
x+2y= p
3

Express y in terms of x and p

b)i) Solve x^2 -13x-36 = 0
b)ii) Hence find the two values of t ∈R for which

((1/t + 2)^2] -13(1/t + 2) + 36 = 0

c) The length of one side of a rectangle is x+4, The area is x^2+16x+48
i) Find the expression of x as the length of the other side.

D)
_1_ + _1_
x+1 . x-1

i) Express in its simplisted form.
ii) Hence if the equation equals 3, Express your answer in the form of A+B10 Where A,B Q.



...Have fun~
I actually made a mistake when i typed in this.
b)i) is actually "x^2 -13x+36 = 0"
Answer time:
Spoiler:

a) (3p-x)/2 = y
b)i) (x-4)(x-9)= 0
∴ x-4=0 , x-9=0
x=4 ,x=9
b)ii) 1/t -2 = 4 , 9
∴ 1-2t = 4t, 9t
∴ 1 = 6t, 11t
t = 1/6 , 1/11
c) x+12
d)i)
_1_ + _1_
x+1 . x-1
x+1+x-1
. (x^2)-1
__2x__
. [x^2]-1

ii)2x/[x^2]-1 = 3
(answer in the form "a+b(sqrt10)", equation: [Ax^2 + Bx + C])
∴ 2x = 3(x^2-1)
∴ 2x = 3x^2 -3
∴ 3x^2 -2x-3 = 0
∴ 3+2(sqrt10)

correct answers are in BOLD
yay for the irish maths system~

Edit: Note: These were 4 SEPERATE questions. In our maths system the "1) Algebra" is the section " a) " is the question , ergo : question A. and "i" is used for the seperate parts of the question.
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Last edited by NurseBarbra; February 19th, 2011 at 07:46 PM.
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  #61    
Old February 20th, 2011, 03:53 AM
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Quote:
Originally Posted by NurseBarbra View Post
Spoiler:

ii)2x/[x^2]-1 = 3
(answer in the form "a+b(sqrt10)", equation: [Ax^2 + Bx + C])
∴ 2x = 3(x^2-1)
∴ 2x = 3x^2 -3
∴ 3x^2 -2x-3 = 0
∴ 3+2(sqrt10)
The part where you solve the quadratic equation is mistaken. Everything up to that is correct.
Spoiler:
The quadratic formula is x=(-b+√(b²-4ac))/2a.
a=3, b=-2, c=-3.
By substituting the values,
x=(-(-2)+√((-2)²-4*3*(-3))/(2*3)
x=(2+√(4+36))/6
x=(2+√40)/6
x=(2+√10√4)/6
x=(2+2√10)/6
x=(1+√10)/3
x=1/3+√10)/3

But from what I have seen, that was probably done due to a "5²=20"-type mistake.
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  #62    
Old February 20th, 2011, 05:05 AM
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Quote:
Originally Posted by smile! View Post
Eh...? Explain.
x-1 = 1/x
and
y+1 = 1/y
When x = (√5 +1)/2
and when y = (
√5 -1)/2

And when you get the fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, etc. where you take the previous number and add it to the last number to get the next number) and put it as a fraction (1/1, 1/2, 2/3, 3/5, 5/8, 8/13, etc.) the fraction converges to (√5-1)/2. When you flip the fraction (1/1, 2/1, 3/2, 5/3, 8/5, 13/8, etc.) the fraction converges to (√5 +1)/2. Which is also the golden ratio, which is supposed to be related to beauty or something like that.

Quote:
Originally Posted by smile! View Post
The quote kinda contradicts what you're saying....
How so?

I swear I'd have given that stuff a try if I came to the club earlier.
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  #63    
Old February 20th, 2011, 05:38 AM
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who like algabra?! (puts hand up)
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  #64    
Old February 20th, 2011, 08:19 AM
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Quote:
Originally Posted by ShinyMeowth View Post
The part where you solve the quadratic equation is mistaken. Everything up to that is correct.
Spoiler:
The quadratic formula is x=(-b+√(b²-4ac))/2a.
a=3, b=-2, c=-3.
By substituting the values,
x=(-(-2)+√((-2)²-4*3*(-3))/(2*3)
x=(2+√(4+36))/6
x=(2+√40)/6
x=(2+√10√4)/6
x=(2+2√10)/6
x=(1+√10)/3
x=1/3+√10)/3

But from what I have seen, that was probably done due to a "5²=20"-type mistake.
sorry, i looked at the wrong equation, the next question was the equation of a line and the formulas are on top of eachother. (Fail on my regard)
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  #65    
Old February 20th, 2011, 08:20 AM
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Quote:
Originally Posted by NurseBarbra View Post
sorry, i looked at the wrong equation, the next question was the equation of a line and the formulas are on top of eachother. (Fail on my regard)
Don't worry about it, as long as you don't do it on a test.
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  #66    
Old February 20th, 2011, 04:00 PM
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Well the formulas arent labeled and there like this in order of the questions(the test was 40 questions long):
-b+-√(b²-4(a)(c))
2a
ax²+bx+c
(x+h)² = (x+xh+h)
4/3πr³
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  #67    
Old February 20th, 2011, 04:55 PM
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Quote:
Originally Posted by MeerFall View Post
who like algabra?! (puts hand up)
I'm too busy dealing with Manly stuff like Analysis and Topology to deal with Algebra ^____^
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  #68    
Old February 21st, 2011, 02:22 AM
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smile!
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Quote:
Originally Posted by I like Pokemon (...) View Post
x-1 = 1/x
and
y+1 = 1/y
When x = (√5 +1)/2
and when y = (
√5 -1)/2

And when you get the fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, etc. where you take the previous number and add it to the last number to get the next number) and put it as a fraction (1/1, 1/2, 2/3, 3/5, 5/8, 8/13, etc.) the fraction converges to (√5-1)/2. When you flip the fraction (1/1, 2/1, 3/2, 5/3, 8/5, 13/8, etc.) the fraction converges to (√5 +1)/2. Which is also the golden ratio, which is supposed to be related to beauty or something like that.


How so?

I swear I'd have given that stuff a try if I came to the club earlier.
...I'll get back to you on that during a convo. XD

How so? Err.. The way I understood your sentence is that Maths = everything but then you limited to physics is just maths. What about Biology and Chemistry?
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  #69    
Old February 21st, 2011, 02:26 AM
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Quote:
Originally Posted by NurseBarbra View Post
Well the formulas arent labeled and there like this in order of the questions(the test was 40 questions long):
-b+-√(b²-4(a)(c))
2a
ax²+bx+c
(x+h)² = (x+xh+h)
4/3πr³
-b+-√(b²-4(a)(c)) - Quadratic formula
2a

ax²+bx+c - General form of a linear equation in 2 variables.

(x+h)² = (x+xh+h) - Aren't x and h supposed to be squared and isn't xh supposed to be 2xh? o.o

4/3πr³ - Volume of a sphere
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  #70    
Old February 21st, 2011, 10:25 AM
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Quote:
Originally Posted by smile! View Post
How so? Err.. The way I understood your sentence is that Maths = everything but then you limited to physics is just maths. What about Biology and Chemistry?
I guess I didn't make it clear, that Biology was just Chemistry, and Chemistry was just Physics


And on my test papers, I have all of those as well as:
Volume of a pyramid/cone: [base]*[perpendicular height]/3
Volume of a prism: [Area of cross section]*[length]
Area of a trapezium: h(a+b)/2
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  #71    
Old February 22nd, 2011, 12:36 PM
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Quote:
Originally Posted by Regeneration View Post

(x+h)² = (x+xh+h) - Aren't x and h supposed to be squared and isn't xh supposed to be 2xh? o.o
Yeah but my teacher is kinda derp when it comes to equations. can't actually believe that he became a maths teacher. in class he put down 5(10)=510 one time.
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  #72    
Old February 23rd, 2011, 02:10 AM
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Quote:
Originally Posted by NurseBarbra View Post
Yeah but my teacher is kinda derp when it comes to equations. can't actually believe that he became a maths teacher. in class he put down 5(10)=510 one time.
..i think you should take his place.

and my teacher decided to give the class a directed investigation, and he's giving us a whole week. the questions are really hard (for me, anyway), and i've only managed to solve 3 out of 5 the first day. i wanna see how people here fair, i'm expecting for all of you to get it in like 5 seconds and make me feel stupid , but here they are;

A girl thinks of 3 numbers. She adds these numbers in pairs, getting 11, 17 and 22.
What are the three numbers?
(This took me so long to get, it was like a sudden brain wave and i got the answer. i then spiraled into a 10 minute victory dance with my friend, because we conquered the maths)

The sum of two numbers is 8 and the difference between their squares is 34.
Find their difference.
(This one annoyed me alot, took me a while to realise the seemingly obvious, but i got it)

and the other ones a calendar one that i can't be bothered typing.
as soon as i finish the others im going to post them and see if others can solve them too
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  #73    
Old February 23rd, 2011, 02:20 AM
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Oh my god~! My classmates are doing trigonometry and they don't even know what's the sine and cosine rules~?!?! :O Unbelievable~!
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  #74    
Old February 23rd, 2011, 02:46 AM
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Quote:
Originally Posted by I like Pokemon (...) View Post
I guess I didn't make it clear, that Biology was just Chemistry, and Chemistry was just Physics
Oh, okay. XD

Quote:
Originally Posted by Impo View Post
A girl thinks of 3 numbers. She adds these numbers in pairs, getting 11, 17 and 22.
What are the three numbers?

The sum of two numbers is 8 and the difference between their squares is 34.
Find their difference.
I miss doing these kinds of questions. XD

Basically, it's how you manipulate the algebra. For the first one, just assign the numbers as x, y and z. Then make an equation for each and solve them accordingly.

For the second, it's about factorization. As long as you know that x2 - y2 = (x+y)(x-y), you should be able to do it.
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  #75    
Old February 23rd, 2011, 02:56 AM
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Quote:
Originally Posted by smile! View Post
Oh, okay. XD



I miss doing these kinds of questions. XD

Basically, it's how you manipulate the algebra. For the first one, just assign the numbers as x, y and z. Then make an equation for each and solve them accordingly.

For the second, it's about factorization. As long as you know that x2 - y2 = (x+y)(x-y), you should be able to do it.
hehe, i've done them already. it took me a while, i forgot about difference of two squares for a while. i wanted to see how fast you could do it, and im guessing it took two seconds.

how are you so good at maths? i'm so jealous.
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