Solving Radical Equations

Front

What is a radical equation?

Back

A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).

Front

How do you isolate a radical in an equation?

Back

To isolate a radical, you can move all other terms to the opposite side of the equation, leaving the radical alone on one side.

Front

Back

Multiply both sides by 5 to eliminate the fraction.

Front

What is the importance of checking your solutions in radical equations?

Back

Checking solutions is crucial because squaring both sides of an equation can introduce extraneous solutions that do not satisfy the original equation.

Front

Back

x = 25.

Front

What does it mean to square both sides of an equation?

Back

Squaring both sides means raising each side of the equation to the power of 2, which can help eliminate square roots.

Front

Back

x = 25.

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

Front

Back

x = 25.

Front

Back

x = 25.