Choose the one alternative that best completes the statement or answers the question.
Solve the equation
-$\sqrt{9 a-2}-\sqrt{6 a+6}=0$

A) $\left\{\frac{8}{3}\right\}$

B) $\left\{\frac{4}{3}\right\}$

C) $\left\{\frac{3}{8}\right\}$

D) $\left\{\frac{8}{15}\right\}$

Question

Choose the one alternative that best completes the statement or answers the question.
Solve the equation
-$\sqrt{9 a-2}-\sqrt{6 a+6}=0$

A) $\left\{\frac{8}{3}\right\}$

B) $\left\{\frac{4}{3}\right\}$

C) $\left\{\frac{3}{8}\right\}$

D) $\left\{\frac{8}{15}\right\}$

Quizplus · Accepted Answer

To solve the equation $\sqrt{9a-2}-\sqrt{6a+6}=0$, we isolate one of the square roots and then square both sides to eliminate the square root. This gives us:$\sqrt{9a-2} = \sqrt{6a+6}$Squaring both sides:$9a - 2 = 6a + 6$Solving for $a$:$3a = 8$$a = \frac{8}{3}$Therefore, the correct answer is $\left\{\frac{8}{3}\right\}$.

Choose the One Alternative That Best Completes the Statement or Answers