Question

Solving Rational Equations : 9/x+2=3/x
2+2x

Answer 1

can you write that properly please using brackets. its really confusing. sorry.

Answer 2

(9/x+2) = (3/x+2) +2x

Answer 3

excellnt. so lets start by taking over the 3/(x+2) because we note that it has the same denom as the other side. so we get ...

(9/x+2) - (3/x+2) = 2x so... from here we subtract the two ...

6/(x+2) = 2x ... now multiply the (x+2) to the other side which will result in ...

6 = 2x(x+2) ... expanding this we will get ...

6 = 2x^2 + 4x ... now bring the 6 over so we will get ...

0 = 2x^2 + 4x - 6 and now factoring out the two for easier solution we get ...


0 = 2 ( x^2 + 2x - 3) and this will factor out to..

0 = 2(x+3)(x-1) soo ...

from here your answer is x+3 = 0 ; hence x = -3
and x - 1 = 0 hence x = 1

So your final answers are x = -3 and 1.

Answer 4

okay ! I think im getting the hang of it heh thanks. you are a greattt help :DD!

Answer 5

that sounds good. haha npp :)

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its a really super cool awesome resource for basic to super advnaced math and there are a lot of videos on it that teach about rational fractions. the videos are realyl quick and will help you out in terms of concepts

Answer 6

thanks I'll be sure to check it out!