Question

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

Answer 1

x = 65

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} = (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