Question

How to solve for x:
(X+3)^3=2

Answer 1

First take the cubed root of both sides (this will eliminate the ^3 on the left side

so now you have

x + 3 = cubed root 2

to solve for x...just subtract 3 from both sides

so

\[x = \sqrt[3]{2} - 3\]

Answer 2

That's a great was to proceed it you want only one of the three solutions.

Use this \((a^{3} - b^{3}) = (a-b)(a^{2}+ab+b^{2})\)
Consider that \(b = \sqrt[3]2\)