what number makes each equation true? n^2 + 6 n + 8 = (n-2) (n+ – 9)?

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what number makes each equation true? n^2 + 6 n + 8 = (n-2) (n+ – 9)?

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    2021-09-14T18:05:24+00:00

    The equation will simplify to a linear equation in n, which can be solved to find n.

    n² +6n +8 = (n -2)(n -9) . . . . . . we assume this is your intent

    n² +6n +8 = n² -11n +18 . . . . . . expand the right side

    17n = 10 . . . . . . . . . . . . . . . . . . . add 11n -8 -n² to both sides

    n = 10/17 . . . . . . . . . . divide by the coefficient of n

    The number that makes the equation true is n = 10/17.

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