SOLUTION: When 10 is added to the square of a positive number, the result is equal to three times the number subtracted from twice its square. Find the number.

Question 430887: When 10 is added to the square of a positive number, the result is equal to three times the number subtracted from twice its square. Find the number.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
When 10 is added to the square of a positive number, the result is equal to three times the number subtracted from twice its square. Find the number
..
10+x^2=2x^2-3x
x^2-3x=10
x^2-3x-10=0
factor to solve
(x-5)(x+2)=0
x=5 (ans)
x=-2 (reject, problem states this must be a positive number)
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