Solve the equation by the square root property.
-$$( 7 x + 5 ) ^ { 2 } = 14$$
A) $\left\{ \pm \frac { \sqrt { 3 } } { 7 } \mathrm { i } \right\}$
B) $\left\{ \frac { - 5 \pm \sqrt { 14 } } { 7 } \right\}$
C) $\left\{ \frac { - 5 + \sqrt { 14 } } { 7 } \right\}$
D) $\{ - 5 \pm \sqrt { 14 } \}$

Question

Quizplus · Accepted Answer

First, take the square root of both sides to get $7x + 5 = \pm \sqrt{14}$. Then, solve for $x$ by subtracting 5 from both sides and dividing by 7, resulting in $x = \frac{-5 \pm \sqrt{14}}{7}$.

Solve the Equation by the Square Root Property (7x+5)2=14( 7 x + 5 ) ^ { 2 } = 14(7x+5)2=14

Solve the Equation by the Square Root Property $( 7 x + 5 ) ^ { 2 } = 14$