Verified answer

√(x + 9) − 7 = x

√(x + 9) = x + 7

x + 9 = (x + 7)²

x + 9 = x² + 14x + 49

x² + 14x − x + 49 − 9 = 0

x² + 13x + 40 = 0

x² + 8x + 5x + 40 = 0

x(x + 8) + 5(x + 8) = 0

(x + 8)(x + 5) = 0

[ x = − 8 , − 5 ]

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