SOLUTION: I need help with 9x/(x^2-8)=-16. I need to find two solutions for x and I have tried multiplying both sides by the denominator to no avail. I imagine simplifying to something looki

Algebra ->  Rational-functions -> SOLUTION: I need help with 9x/(x^2-8)=-16. I need to find two solutions for x and I have tried multiplying both sides by the denominator to no avail. I imagine simplifying to something looki      Log On


   

Question 349781: I need help with 9x/(x^2-8)=-16. I need to find two solutions for x and I have tried multiplying both sides by the denominator to no avail. I imagine simplifying to something looking like (x+y)(x-z)=0 is in order but how do I get there and is that even an appropriate simplification?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
9x/(x^2-8)=-16. I need to find two solutions for x and I have tried multiplying both sides by the denominator to no avail. I imagine simplifying to something looking like (x+y)(x-z)=0 is in order but how do I get there and is that even an appropriate simplification?
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Cross-multiply to get:
-16x^2+ 128 = 9x
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Simplify:
16x^2+9x-128 = 0
Quadratic Formula:
x = [-9 +- sqrt(81-4*16*-128)]/(32)
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x = [-9 +- sqrt(8273]/32
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x = [-9 +-90.9560]/32
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x = -3.1236 or x = 2.5611
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Cheers,
Stan H.