Solve and check the equation.
-$$( 5 x - 3 ) ^ { 1 / 3 } + 3 = 5$$
A) $\left\{ \frac { 11 } { 5 } \right\}$
B) $\left\{ \frac { 9 } { 5 } \right\}$
C) $\left\{ \frac { 7 } { 5 } \right\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

First, isolate the cube root by subtracting 3 from both sides, giving $(5x - 3)^{1/3} = 2$. Cube both sides to eliminate the cube root, resulting in $5x - 3 = 8$. Solving for $x$ gives $5x = 11$, so $x = \frac{11}{5}$.

Solve and Check the Equation (5x−3)1/3+3=5( 5 x - 3 ) ^ { 1 / 3 } + 3 = 5(5x−3)1/3+3=5

Solve and Check the Equation $( 5 x - 3 ) ^ { 1 / 3 } + 3 = 5$