Question

select the correct answer.
what is the solution to the equation?
-2√x + 4 = -12
a. 4
b. 8
c. 16
d. 64

Explanation:

Step1: Isolate the square root term

Subtract 4 from both sides of the equation \(-2\sqrt{x} + 4 = -12\).
\(-2\sqrt{x} + 4 - 4 = -12 - 4\)
\(-2\sqrt{x} = -16\)

Step2: Solve for \(\sqrt{x}\)

Divide both sides by -2.
\(\frac{-2\sqrt{x}}{-2} = \frac{-16}{-2}\)
\(\sqrt{x} = 8\)

Step3: Solve for \(x\)

Square both sides to eliminate the square root.
\((\sqrt{x})^2 = 8^2\)
\(x = 64\)

Answer:

D. 64