Question

Write the steps to "undo" the equation to solve for x and then give the value of x that

solves the equation.
2 = (x - 4)^3
X = ?

Answer 1

`x=\sqrt[3]{2}+4`

Explanation:

To "undo" this equation, we need to solve for x.

We begin with the equation

`2=(x-4)^3`

To remove the cube, we need to take the cubic root of both sides

`\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4`

And the last step to solve for x will be to add 4 to each side

`\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x`

And there is our value for x