Use the square root property to solve the quadratic equation.
-$( 5 x + 4 ) ^ { 2 } = 6$
A) $\frac { 4 \pm \sqrt { 6 } } { 5 }$
B) $\frac { \sqrt { 6 } \pm 4 } { 5 }$
C) $- 2 \text { and } \frac { 2 } { 5 }$
D) $\frac { - 4 \pm \sqrt { 6 } } { 5 }$

Question

Use the square root property to solve the quadratic equation.
-$( 5 x + 4 ) ^ { 2 } = 6$
A) $\frac { 4 \pm \sqrt { 6 } } { 5 }$
B) $\frac { \sqrt { 6 } \pm 4 } { 5 }$
C)  $- 2 \text { and } \frac { 2 } { 5 }$
D) $\frac { - 4 \pm \sqrt { 6 } } { 5 }$

Quizplus · Accepted Answer

First, take the square root of both sides of the equation to get $5x + 4 = \pm \sqrt{6}$. Then, solve for $x$ by subtracting 4 from both sides and dividing by 5, resulting in $x = \frac{-4 \pm \sqrt{6}}{5}$.

Use the Square Root Property to Solve the Quadratic Equation (5x+4)2=6( 5 x + 4 ) ^ { 2 } = 6(5x+4)2=6

Use the Square Root Property to Solve the Quadratic Equation $( 5 x + 4 ) ^ { 2 } = 6$