Solve the equation. Check all solutions. $\sqrt { x } = 9$
A)81
B)41
C)9
D)79
E)no solution

Question

Quizplus · Accepted Answer

Square both sides of the equation to get rid of the square root: 
\begin{align*}
\sqrt{x} &= 9 \
(\sqrt{x})^2 &= 9^2 \
x &= 81
\end{align*}
Then check that the solution $x=81$ works in the original equation: 
\begin{align*}
\sqrt{x} &= 9 \
\sqrt{81} &= 9 \
9 &= 9
\end{align*}
So the solution is $x=81$, which corresponds to choice A.

Solve the Equation x=9\sqrt { x } = 9x​=9 A)81 B)41 C)9 D)79 E)no Solution

Solve the Equation $\sqrt { x } = 9$ A)81
B)41
C)9
D)79
E)no Solution