Solve each equation. Match each equation with the corresponding solution.
-$n = \frac { 36 } { 121 }$
A) $6 \sqrt { n } = 11$
B) $11 \sqrt { n } = 6$

Question

Solve each equation. Match each equation with the corresponding solution.
-$n = \frac { 36 } { 121 }$ 
A) $6 \sqrt { n } = 11$ 
B) $11 \sqrt { n } = 6$

Quizplus · Accepted Answer

To solve for n, we need to isolate the square root term. We can do this by dividing both sides of the equation by 11:
$$\begin{aligned} 11\sqrt{n} &= 6 \ \sqrt{n} &= \frac{6}{11} \end{aligned}$$
Now, we square both sides of the equation to eliminate the square root:
$$\begin{aligned} \left(\sqrt{n}\right)^2 &= \left(\frac{6}{11}\right)^2 \ n &= \frac{36}{121} \end{aligned}$$
This matches the given value of n, so the solution is B.

Solve Each Equation n=36121n = \frac { 36 } { 121 }n=12136​

Solve Each Equation $n = \frac { 36 } { 121 }$