Question

Solve 5(x-1)^1/3 = 20

Answer 1

Answer:

x = 65

Step-by-step explanation:

To solve the equation, we write it in radical form:

$5\, \sqrt[3]{x-1} = 20$

Then, we divide both sides by 5 to isolate the root:

$\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4$

and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

$x-1=4^3\\x-1=64$

now we add 1 to both sides to isolate x:

x = 65