Step by step
The question
Question: solve x³ = 0.
x3 = 0
x³ means x times x times x.
We want just x.
x³ = x × x × x
1 Cube root of both sides
The cube root asks: which number, times itself three times, makes this?
∛27 = ? → ? × ? × ? = 27
The cubes: 1 times 1 times 1 is 1.
2 times 2 times 2 is 8.
3 times 3 times 3 is 27.
1³ = 1, 2³ = 8, 3³ = 27
x is the cube root of 0.
x = 3√0
0 times 0 times 0 is 0.
So x = 0.
x = 0
2 Check
Let's check: 0 times 0 times 0 is 0.
0 × 0 × 0 = 0
The same as the right side.
So the answer is right!
Let's look back.
First: cube root of both sides.
Last: check.
Answer
x = 0