SOLUTION: Twice the square of a number is 10 more than the number. What is the number?

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Question 562231: Twice the square of a number is 10 more than the number. What is the number?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
number =x
2x^2=x+10
2x^2-x-10=0
2x^2-5x+4x-10=0
x(2x-5)+2(2x-5)=0
(2x-5)(x+2)=0
x=5/2 OR x=-2