Solve the equation. Express radicals in simplest form.
-$(x+4)^{2}-2=0$
A) $4 \pm \sqrt{2}$
B) $-2 \pm \sqrt{2}$
C) $-4 \pm \sqrt{2}$
D) $-2,6$

Name: Solve the equation. Express radicals in simplest form. -$(x+4)^{2}-2=0$ A) $4 \pm \sqrt{2}$ B) $-2 \pm \sqrt{2}$ C) $-4 \pm \sqrt{2}$ D) $-2,6$
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Question

Quizplus · Accepted Answer

First, add 2 to both sides to get $(x+4)^2 = 2$. Then, take the square root of both sides to get $x+4 = \pm \sqrt{2}$. Finally, subtract 4 from both sides to get $x = -4 \pm \sqrt{2}$.

Solve the Equation (x+4)2−2=0(x+4)^{2}-2=0(x+4)2−2=0 A) 4±24 \pm \sqrt{2}4±2​ B) −2±2-2 \pm \sqrt{2}−2±2​ C) −4±2-4 \pm \sqrt{2}−4±2​

Solve the Equation $(x+4)^{2}-2=0$ A) $4 \pm \sqrt{2}$ B) $-2 \pm \sqrt{2}$ C) $-4 \pm \sqrt{2}$