SOLUTION: Rewrite the following equation as a quadratic equation, and solve by factoring. Separate your answers with commas. Repeated roots should only be entered once. x - 4 = 45/x

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Question 831088: Rewrite the following equation as a quadratic equation, and solve by factoring. Separate your answers with commas. Repeated roots should only be entered once.
x - 4 = 45/x
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Given, x+-+4+=+45%2Fx,
Multiply left and right by x.
x%28x-4%29=%2845%2Fx%29x
x%5E2-4x=45
x%5E2-4x-45=0
%28x%2B5%29%28x-9%29=0
One or the other of the binomial factors must be zero.
x element of {-5,9}.