SOLUTION: Solve for x: x^2 - 5x = Logbase2 (64)

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Question 978402: Solve for x: x^2 - 5x = Logbase2 (64)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2+-+5x+=+log%282+%2C64%29......since log%282+%2C64%29=2%5E6, we have
x%5E2-5x=6
x%5E2-5x-6=0
x%5E2%2Bx-6x-6=0
%28x%5E2%2Bx%29-%286x%2B6%29=0
x%28x%2B1%29-6%28x%2B1%29=0
%28x-6%29%28x%2B1%29=0
solutions:
if %28x-6%29=0+=> x=6
if %28x%2B1%29=0+=> x=-1