Question

Solve for x if the equation is
`3 √(x + a - z = b)`

Answer 1

EXPLANATION

Given the expression:

`b=\sqrt[3]{x+a-z}`

Applying the cubic power to both sides:

`b^3=(\sqrt[3]{x+a-z})^3`

Simplifying the cubic root with the cubic power:

`b^3=x+a-z`

Subtracting -a to both sides:

`b^3-a=x+a-a-z_{}`

Adding z to both sides:

`b^3-a\text{ +z = x + a - a -z + z}`

Simplifying terms:

`b^3-a+z=x`

Switching sides:

`x=b^3-a+z`