Question

solve for x if the equation is$3 \sqrt{x + a - z = b}$

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:

$x=b^3-a+z$