SOLUTION: The square of a negative number is fifteen more than twice the negative number. Find the number

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Question 219430: The square of a negative number is fifteen more than twice the negative number. Find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The square of a negative number is fifteen more than twice the negative number.
Find the number
:
Let x = "the number"
:
(x)^2 = 2(x) + 15
x^2 = 2x + 15
x^2 - 2x - 15 = 0
Factor
(x-5)(x+3) = 0
x = 5
and
x = -3, the negative solution is what they want
;
:
Check solution
(-3)^2 = 2(-3) + 15
9 - 6 = 15