SOLUTION: the square of a half of a number diminished by twice the number is equal to 5. find the number.

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Question 339771: the square of a half of a number diminished by twice the number is equal to 5. find the number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x
%28x%2F2%29%5E2-2x=5
%28x%5E2%2F4%29-2x=5
%28x%5E2-8x%29%2F4+=+5
%28x%5E2-8x%29=20
x^2-8x-20=0
x^2-10x+2x-20=0
x(x-10)+2(x-10)=0
(x-10)(x+2)=0
number = 10 OR -2