Math Game

[Resi Respati]

Time for another forum game. Rules are simple, I'll post a hard math question, the first to answer it correctly posts another question, and so on, and so on...

Let's start off with an easy one. Convert the following to its simplest form:

((x-y)(x+y)+y^2)^0.5

Good luck

EDIT: You can also show how each question are solved if you could.

 

[Aaron DeMarre]

((x-y)(x+y)+y^2)^0.5 = x


Edit: Do you want to see work too? This is a great idea, its been years since my last math course and I don't use it enough in my work. Good practice!

 

[Ondrej Kapal]

what means ^ please

 

[Alessandro Gamberini]

what means ^ please

power elevation
in particular ^0.5 means square root of ...

 

[Resi Respati]

((x-y)(x+y)+y^2)^0.5 = x


Edit: Do you want to see work too? This is a great idea, its been years since my last math course and I don't use it enough in my work. Good practice!

Yes, you can show how it work if you could.

And, you're correct.

 

[Aaron DeMarre]

Sorry for the delay, I didn't have time last night to come up with a new one.

((x-y)(x+y)+y^2)^0.5

First, FOIL and simplify the first part (or know the pattern):
(x-y)(x+y) =
x^2 + xy - xy - y^2 =
x^2 - y^2

So then:
(x^2 - y^2 + y^2)^0.5 =
(x^2)^0.5

Then do a little exponent math
(x^2)^0.5 =
x^(2 * 0.5) =
x^1 =
x


---------------------------------------------------------

Keeping it simple still, I know calculators can do this no problem, but you need to show your work!


Next problem:

Find the equation of a line (in slope-intercept form) that passes thru the coordinates (9,3) and (1,-2).

 

[Alessandro Gamberini]

I'm curious to see next one math expression

 

[Aaron DeMarre]

The next problem is the last line my last post, not a simplification problem, but finding the equation that represents a line instead:

Find the equation of a line (in slope-intercept form) that passes thru the coordinates (9,3) and (1,-2).

 

[Ondrej Kapal]

bad I dont understand any word of your english math :d paper would be better

 

[Alessandro Gamberini]

y=(5x-21)/8

 

[Aaron DeMarre]

Thats right, you're up.

 

[Alessandro Gamberini]

find the parabolic curve passing through next three points:
(-1, 4), (0, 6) and (1, 14)

 

[Aaron DeMarre]

bad I dont understand any word of your english math :d paper would be better

Ondrej, would something like this attachment help? I put it into a form like what you would see in a textbook. Note that the decimals are represented with periods "0.5" and not commas "0,5".

 

[Dave Stephenson]

nvm stupid question

 

[Ondrej Kapal]

Ondrej, would something like this attachment help? I put it into a form like what you would see in a textbook. Note that the decimals are represented with periods "0.5" and not commas "0,5".

yea thats much more better as known math is international stuff only on paper

 

[Aaron DeMarre]

Well, I was holding off to see if someone else would solve this one since I didn't want to come up with a new problem, but to move it along here is the answer

 

[Alessandro Gamberini]

Well, I was holding off to see if someone else would solve this one since I didn't want to come up with a new problem, but to move it along here is the answer

the right answer, you're up mate

 

[Aaron DeMarre]

Ok, next problem:

 

[Ondrej Kapal]

-5/4 and 1?

 

[Aaron DeMarre]

That is correct. Your turn!