Use the square root property to solve the quadratic equation.
-$( 19 - 5 x ) ^ { 2 } - 12 = 0$
A) $\frac { 2 \sqrt { 3 } \pm 19 } { 5 }$
B) $\frac { 19 \pm 2 \sqrt { 3 } } { 5 }$
C) $\frac { - 19 \pm 2 \sqrt { 3 } } { 5 }$
D) $\frac { 19 \pm 3 \sqrt { 2 } } { 5 }$

Question

Quizplus · Accepted Answer

First, add 12 to both sides to isolate the squared term: $(19 - 5x)^2 = 12$. Taking the square root of both sides gives $19 - 5x = \pm\sqrt{12}$. Solving for $x$ yields $x = \frac{19 \pm \sqrt{12}}{5}$. Since $\sqrt{12} = 2\sqrt{3}$, the correct answer is $x = \frac{19 \pm 2\sqrt{3}}{5}$.

Use the Square Root Property to Solve the Quadratic Equation (19−5x)2−12=0( 19 - 5 x ) ^ { 2 } - 12 = 0(19−5x)2−12=0

Use the Square Root Property to Solve the Quadratic Equation $( 19 - 5 x ) ^ { 2 } - 12 = 0$