Solve the quadratic equation. $12 n ^ { 2 } = 15$
A) $x = - \frac { \sqrt { 5 } } { 2 } \text { or } x = \frac { \sqrt { 5 } } { 2 }$
B) $x = - \frac { \sqrt { 2 } } { 5 } \text { or } x = \frac { \sqrt { 2 } } { 5 }$
C) $x = - \frac { \sqrt { 10 } } { 2 } \text { or } x = \frac { \sqrt { 10 } } { 2 }$
D) $x = - \frac { \sqrt { 5 } } { 10 } \text { or } x = \frac { \sqrt { 5 } } { 10 }$

Question

Quizplus · Accepted Answer

First, divide both sides by 12 to isolate $n^2$, resulting in $n^2 = \frac{15}{12} = \frac{5}{4}$. Taking the square root of both sides gives $n = \pm \sqrt{\frac{5}{4}}$, which simplifies to $n = \pm \frac{\sqrt{5}}{2}$.

Solve the Quadratic Equation 12n2=1512 n ^ { 2 } = 1512n2=15

Solve the Quadratic Equation $12 n ^ { 2 } = 15$