SOLUTION: if a number is added to two times its square, the result is thirty-six. Find all such numbers

SOLUTION: if a number is added to two times its square, the result is thirty-six. Find all such numbers

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Question 245844: if a number is added to two times its square, the result is thirty-six. Find all such numbers
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
Let x be the number.
Then we have:
x+2x^2=36
Rewrite this as:
2x^2 + x - 36 = 0
(2x+9)*(x-4) = 0
The solutions are values of x that solve 2x+9 = 0 and x-4 = 0
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