Radical Equations

Front

What is the inverse of squaring a number?

Back

Square root

Front

Solve the radical equation: √(x + 4) = 6

Back

x = 32

Front

Solve the radical equation: √(2x - 8) = 4

Back

x = 12

Front

Solve the radical equation: √(x + 1) = 5

Back

x = 24

Front

Solve the radical equation: √(3x + 9) = 6

Back

x = 3

Front

What is a radical equation?

Back

An equation that contains a variable within a radical (square root, cube root, etc.).

Front

How do you isolate a radical in an equation?

Back

By moving all other terms to the opposite side of the equation.

Front

What is the first step in solving a radical equation?

Back

Isolate the radical on one side of the equation.

Front

What happens when you square both sides of a radical equation?

Back

You eliminate the radical, but you must check for extraneous solutions.

Front

What is an extraneous solution?

Back

A solution that does not satisfy the original equation.