Question

Find all solutions of the equation. Leave answers in trigonometric form.x^3-8=0

Answer 1

Step 1. The equation that we have is:

`x^3-8=0`

And we need to find the solutions.

Step 2. To find the solution or solutions, we need to solve for x.

First, we add 8 to both sides:

`x^3-8+8=0+8`

Simplifying:

`x^3=8`

Step 3. Then, we take the cube root of both sides:

`\sqrt[3]{x^3}=\sqrt[3]{8}`

On the left side, we are left only with x:

`x=\sqrt[3]{8}`

And on the right side, the cube root of 8 only has 1 solution, which is 2:

`x=2`

The solution is x=2.

Answer:

`x=2`