Question

Solving equations with x^3

Answer 1

To solve an equation with \( x^3 \), follow these steps:

1. Isolate \( x^3 \) by moving all other terms to the other side of the equation.
2. Take the cube root of both sides to solve for \( x \).
3. Check your solution by plugging it back into the original equation.

For example, let's solve the equation \( x^3 + 8 = 27 \):

1. Move the constant term to the other side:
\( x^3 = 27 - 8 = 19 \)

2. Take the cube root of both sides:
\( x = \sqrt[3]{19} \)

3. Check the solution:
\( (\sqrt[3]{19})^3 + 8 = 19 + 8 = 27 \)
So, the solution is correct.

Always remember to check your solution to ensure it is correct.