Solve the equation by extracting the square roots.
-$$2 ( x - 1 ) ^ { 2 } = 7$$
A) $x = 1 - \sqrt { \frac { 7 } { 2 } }$ or $x = 1 + \sqrt { \frac { 7 } { 2 } }$
B) $x = \sqrt { \frac { 7 } { 2 } }$
C) $x = - 1 - \sqrt { \frac { 7 } { 2 } }$ or $x = - 1 + \sqrt { \frac { 7 } { 2 } }$
D) $x = - \sqrt { \frac { 7 } { 2 } }$ or $x = \sqrt { \frac { 7 } { 2 } }$

Question

Quizplus · Accepted Answer

First, divide both sides by 2 to isolate the squared term: $(x - 1)^2 = \frac{7}{2}$. Then, take the square root of both sides to solve for $x$, yielding $x = 1 \pm \sqrt{\frac{7}{2}}$.

Solve the Equation by Extracting the Square Roots 2(x−1)2=72 ( x - 1 ) ^ { 2 } = 72(x−1)2=7

Solve the Equation by Extracting the Square Roots $2 ( x - 1 ) ^ { 2 } = 7$