Solve and check the equation.
-$$( x + 11 ) ^ { 3 / 2 } = 125$$
A) $\{ 14 \}$
B) $\{ - 6 \}$
C) $\{ \sqrt [ 3 ] { 5 } - 11 \}$
D) $\{ 36 \}$

Name: Solve and check the equation. -\[( x + 11 ) ^ { 3 / 2 } = 125\] A) $\{ 14 \}$ B) $\{ - 6 \}$ C) $\{ \sqrt [ 3 ] { 5 } - 11 \}$ D) $\{ 36 \}$
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Question

Quizplus · Accepted Answer

To solve the equation $(x + 11)^{3/2} = 125$, take both sides to the power of $2/3$ to get $x + 11 = 5^2 = 25$. Solving for $x$ gives $x = 25 - 11 = 14$.

Solve and Check the Equation (x+11)3/2=125( x + 11 ) ^ { 3 / 2 } = 125(x+11)3/2=125

Solve and Check the Equation $( x + 11 ) ^ { 3 / 2 } = 125$