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The sum of an integer and its square is 72. Find the greatest possible integer.

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Accepted Answer

[tex]x + x^2 = 72[/tex][tex]x^2 + x - 72 = 0[/tex][tex](x -8)(x+9) = 0[/tex][tex]x = -9, 8[/tex]Greatest Possible Integer: 8

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