SOLUTION: When a number x is added to its square, the total is 90. find the values of x.

Question 721712: When a number x is added to its square, the total is 90. find the values of x.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
if "a number" is x, then its square would be . And "When a number x is added to its square, the total is 90" translates into:

This is a quadratic equation so we want it in standard form. Subtracting 90 and rearranging the terms we get:

Factor:
(x+10)(x-9) = 0
From the Zero Product Property we get:
x+10 = 0 or x-9 = 0
Solving these:
x = -10 or x = 9
These are both solutions to the problem. Check them if you like.
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