Solve the equation.
-$$3 ( x - 4 ) ^ { 2 / 3 } = 48$$
A) $\{ - 60,68 \}$
B) $\{ - 68,60 \}$
C) $\{ - 20,12 \}$
D) $\{ - 12,20 \}$

Question

Quizplus · Accepted Answer

Cube both sides of the equation to clear the fraction.$$(3 ( x - 4 ) ^ { 2 / 3 } )^3 = 48^3$$$$27 ( x - 4 ) ^ 2 = 11664$$$$( x - 4 ) ^ 2 = 432$$$$x - 4 = \pm \sqrt { 432 }$$$$x - 4 = \pm 20.8$$$$x = 4 \pm 20.8$$$$x = 24.8 \quad or \quad x = -16.8$$

Solve the Equation 3(x−4)2/3=483 ( x - 4 ) ^ { 2 / 3 } = 483(x−4)2/3=48

Solve the Equation $3 ( x - 4 ) ^ { 2 / 3 } = 48$