SOLUTION: the sum of an integer and its square is 72. What's the integer?
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the sum of an integer and its square is 72. What's the integer?
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x +x^2 = 72
x^2 +x -72 = 0
(x+9)(x-8) = 0
x = -9 or 8
check both values.
-9^2 = 81
81+(-9) = 72
8^2 = 64
64 + 8 = 72
The integer is either -9 or 8.