SOLUTION: i am trying to solve the problem of x/(x^2-9) 1/(x 3)=4 i started by using an LCD of (x 3)(x-3) to multiply to each term on both sides of equation. I arrived at an answer of x

Algebra ->  Rational-functions -> SOLUTION: i am trying to solve the problem of x/(x^2-9) 1/(x 3)=4 i started by using an LCD of (x 3)(x-3) to multiply to each term on both sides of equation. I arrived at an answer of x       Log On


   

Question 844070: i am trying to solve the problem of x/(x^2-9) 1/(x 3)=4
i started by using an LCD of (x 3)(x-3) to multiply to each term on both sides of equation. I arrived at an answer of x (x-3)=4(x^2-9). then i simplfied more to arrive at -4x^2-2x-33=0. i'm stuck. not sure how to tackle problem further
Found 2 solutions by Fombitz, nanakwame:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B%28x-3%29=4%28x%5E2-9%29
2x-3=4x%5E2-36
4x%5E2-2x-33=0
You have a sign error in your constant term and your x term,
Use the quadratic formula,
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A4%2A%28-33%29+%29%29%2F%282%2A4%29+
x+=+%282+%2B-+sqrt%28+4%2B528+%29%29%2F%282%2A4%29+
x+=+%282+%2B-+sqrt%28+532+%29%29%2F%288%29+
x+=+%282+%2B-+2%2Asqrt%28+133+%29%29%2F%288%29+
highlight%28x+=+%281+%2B-+sqrt%28+133+%29%29%2F%284%29%29+

Answer by nanakwame(5) About Me  (Show Source):
You can put this solution on YOUR website!
you made a mistake when grouping because you will get x (x-3)=4x^2-36
2x-3=4x^2-36
both the 2x and -3 will cross the equal sign and you will get
4x^2-2x-33=0
use the general formula and you will get -3.133 and 3.133