4 years ago

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

Mathematics

1 answer:

Mashcka [7]4 years ago

7 0

The left side can be condensed as a squared binomial:

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

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

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we know that

To find the solution let's factor the equation

$x^{2} + 4x - 4 = 8$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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Rewrite as perfect squares

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Read 2 more answers

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

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