Solve Equations with Rational Exponents
Solve and check the equation.
-$$( 4 x - 2 ) ^ { 1 / 3 } + 3 = - 4$$
A) $\left\{ - \frac { 341 } { 4 } \right\}$
B) $\left\{ - \frac { 19 } { 4 } \right\}$
C) $\left\{ \frac { 51 } { 4 } \right\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation is equivalent to $( 4 x - 2 ) ^ { 1 / 3 } = - 7$. Cubing both sides gives $4 x - 2 = - 343$, so $x = - \frac { 341 } { 4 }$.

Solve Equations with Rational Exponents Solve and Check the Equation (4x−2)1/3+3=−4( 4 x - 2 ) ^ { 1 / 3 } + 3 = - 4(4x−2)1/3+3=−4

Solve Equations with Rational Exponents
Solve and Check the Equation $( 4 x - 2 ) ^ { 1 / 3 } + 3 = - 4$