Solving Equations Using Cube Roots (Example)

The video tutorial explains how to solve equations of the form x cubed equals a number by taking the cube root of both sides. It provides two examples: solving x cubed equals 125, which results in x equals 5, and solving x cubed equals 30, where the cube root is not a whole number. The tutorial demonstrates how to estimate the cube root of 30, showing it is approximately 3.11, and emphasizes the importance of checking solutions by substituting them back into the original equation.

What is the solution to the equation x cubed equals 125?

• x equals 6

• x equals 7

• x equals 5

• x equals 4

How do you verify the solution to x cubed equals 125?

• By checking if 5 to the power of 4 equals 125

• By checking if 5 squared equals 125

• By checking if 5 to the power of 5 equals 125

• By checking if 5 cubed equals 125

What is the initial step to solve x cubed equals 30?

• Add 30 to both sides

• Square both sides

• Subtract 30 from both sides

• Take the cube root of both sides

Why is the cube root of 30 not a whole number?

• Because 30 is not a perfect square

• Because 30 is a perfect cube

• Because 30 is a perfect square

• Because 30 is not a perfect cube

What is the approximate value of the cube root of 30?

• 2.5

• 3.11

• 3.5

• 4.0