Solve by extracting square roots
-$2(x-7)^{2}+12=52$
A) $\{7 \pm 2 \sqrt{5}\}$
B) $\{7 \pm 2 \sqrt{5} i\}$
C) $\{-7 \pm 2 \sqrt{5}\}$
D) $\{-7 \pm 2 \sqrt{5} i\}$

Name: Solve by extracting square roots -$2(x-7)^{2}+12=52$ A) $\{7 \pm 2 \sqrt{5}\}$ B) $\{7 \pm 2 \sqrt{5} i\}$ C) $\{-7 \pm 2 \sqrt{5}\}$ D) $\{-7 \pm 2 \sqrt{5} i\}$
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Question

Quizplus · Accepted Answer

First, simplify the equation: $2(x-7)^2 = 40$, then $(x-7)^2 = 20$, and finally $x-7 = \pm \sqrt{20}$ or $x = 7 \pm 2\sqrt{5}$.

Solve by Extracting Square Roots - 2(x−7)2+12=522(x-7)^{2}+12=522(x−7)2+12=52 A) {7±25}\{7 \pm 2 \sqrt{5}\}{7±25​}

Solve by Extracting Square Roots
- $2(x-7)^{2}+12=52$ A) $\{7 \pm 2 \sqrt{5}\}$