SOLUTION: I need help solving the rational expression: 10/(x + 2) - 1 = 9/(x^2 - 4) * I always get halfway through and then get stuck! Please help! *The division sign(/) is supposed to b

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help solving the rational expression: 10/(x + 2) - 1 = 9/(x^2 - 4) * I always get halfway through and then get stuck! Please help! *The division sign(/) is supposed to b      Log On


   

Question 765230: I need help solving the rational expression:
10/(x + 2) - 1 = 9/(x^2 - 4)
* I always get halfway through and then get stuck! Please help!
*The division sign(/) is supposed to be a fraction bar over the numbers in parentheses.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
(*)You need help solving the rational "equation".

(*) What you mean by "halfway through" may be different for some people, but I'll try to go just alittle beyond that.

(*) Yes, the forward slash (/) does indicate division as well as indicating the boundary between numerator and denominator of fraction.


Just know that x%5E2-4=%28x-2%29%28x%2B2%29


10%2F%28x+%2B+2%29+-+1+=+9%2F%28x%5E2+-+4%29
10%2F%28x%2B2%29-9%2F%28x%5E2-4%29=1
%28x%5E2-4%29%28%2810%2F%28x%2B2%29%29-%289%2F%28x%5E2-4%29%29%29=x%5E2-4
10%28x-2%29-9%28x%2B2%29=x%5E2-4
10x-20-9x-18=x%5E2-4
x-38=x%5E2-4
x%5E2-4-x%2B38=0 ________hope you followed that step______
highlight%28x%5E2-x%2B34=0%29.....
.

Not factorable so use the general solution to quadratic equation. You should be able to continue from here.