SOLUTION: Solve: x+4/x^2-x-2=6/x^2-4x-5 I've gotten so far as x^2=32/-7, but I'm pretty sure it's not right.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve: x+4/x^2-x-2=6/x^2-4x-5 I've gotten so far as x^2=32/-7, but I'm pretty sure it's not right.      Log On


   

Question 245144: Solve: x+4/x^2-x-2=6/x^2-4x-5 I've gotten so far as x^2=32/-7, but I'm pretty sure it's not right.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: x+4/(x^2-x-2) = 6/(x^2-4x-5)
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Factor:
(x+4)/[(x-2)(x+1)] = 6/[(x-5)(x+1)]
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Multiply both sides by (x+1):
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(x+4)/(x-2) = 6/(x-5)
Cross-multiply and solve for "x":
x^2-x-20 = 6x-12
x^2-7x-32 = 0
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Quadratic Formula:
x = [7 +- sqrt(49-4*-32)]/2
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x = [7 +- sqrt(177)]/2
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Cheers,
Stan H.