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


Sagot :

[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