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

Find all solutions of the equation. Leave answers in trigonometric form.x^3-8=0-example-1
User Domanskyi
by
2.7k points

1 Answer

22 votes
22 votes

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

User Damien Dotta
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2.7k points