Question

question
find the positive solution of the equation.
$4x^{\frac{1}{3}} + 7 = 135$

Explanation:

Step1: Isolate the variable term

Subtract 7 from both sides.
$4x^{\frac{1}{3}} = 135 - 7$
$4x^{\frac{1}{3}} = 128$

Step2: Solve for $x^{\frac{1}{3}}$

Divide both sides by 4.
$x^{\frac{1}{3}} = \frac{128}{4}$
$x^{\frac{1}{3}} = 32$

Step3: Eliminate the cube root

Raise both sides to the 3rd power.
$x = 32^3$
$x = 32 \times 32 \times 32$
$x = 32768$

Answer:

$32768$