Question

solve for v.
-11 + \sqrt{-17 + v} = -2
v = \square

Explanation:

Step1: Isolate the square root term

Add 11 to both sides of the equation \(-11 + \sqrt{-17 + v} = -2\) to isolate the square root.
\(\sqrt{-17 + v} = -2 + 11\)
\(\sqrt{-17 + v} = 9\)

Step2: Eliminate the square root

Square both sides of the equation to get rid of the square root.
\((\sqrt{-17 + v})^2 = 9^2\)
\(-17 + v = 81\)

Step3: Solve for v

Add 17 to both sides of the equation.
\(v = 81 + 17\)
\(v = 98\)

Answer:

\(98\)