Solving Cubic and Cube Root Equations

Front

What is a cube root?

Back

The cube root of a number x is a number y such that y³ = x. It is denoted as ∛x.

Front

How do you solve the equation x³ = a?

Back

To solve x³ = a, take the cube root of both sides: x = ∛a.

Front

What is the cube of a number?

Back

The cube of a number x is x multiplied by itself three times, denoted as x³ = x * x * x.

Front

Solve for x: x³ = 27

Back

x = 3.

Front

Solve for x: x³ = -64

Back

x = -4.

Front

What is the relationship between cube roots and real numbers?

Back

Every real number has one real cube root.

Front

Solve for x: (2x)³ = 216

Back

x = 3.

Front

What is the formula for expanding a binomial cubed?

Back

(a + b)³ = a³ + 3a²b + 3ab² + b³.

Front

Solve for x: (3x + 1)³ = 64

Back

x = 1.

Front

What is the value of ∛-8?

Back

-2.