SOLUTION: If half the difference between the square of a certain positive number and the number is 3 more than twice the number, what is the number

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Question 526053: If half the difference between the square of a certain positive number and the number is 3 more than twice the number, what is the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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If half the difference between the square of a certain positive number, and the number, is 3 more than twice the number, what is the number
:
1%2F2(x^2 - x) = 2x + 3
Multiply both sides by 2
x^2 - x = 2(2x + 3)
x^2 - x = 4x + 6
x^2 -x - 4x - 6 = 0
x^2 - 5x - 6 = 0
Factors to
(x-6)(x+1) = 0
Two solutions
x = 6
x = -1
:
Check both solutions in the original equation