Solve the equation by finding square roots x^2 + 8x + 16 =9

asked Feb 1, 2020 115k views

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The left side can be condensed as a squared binomial:

$x^2+8x+16=(x+4)^2=9\implies x+4=\pm\sqrt9\implies x+4=\pm3$

$\implies\boxed{x=-1\text{ or }x=-7}$

Nacyot answered Feb 5, 2020

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