SOLUTION: A number is 72 less than its square. Find all such numbers.

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Question 205306: A number is 72 less than its square. Find all such numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A number is 72 less than its square. Find all such numbers.
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Equation:
x^2-x = 72
x^2-x-72 = 0
(x-9)(x+8) = 0
x = 9 or x = -8
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If x = 9 then x^2=81 and 81-9 = 72
If x = -8 then x^2 = 64 and 64--8 = 72
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Cheers,
Stan H.