Radical Equations

Front

What is a radical equation?

Back

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

Tags

CCSS.HSA.REI.A.2

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.

Tags

CCSS.HSA.REI.A.2

Front

What is the first step in solving a radical equation?

Back

Square both sides of the equation to eliminate the radical.

Tags

CCSS.HSA.REI.A.2

Front

What should you do after squaring both sides of a radical equation?

Back

Simplify the equation and solve for the variable.

Tags

CCSS.HSA.REI.A.2

Front

What is a common mistake when solving radical equations?

Back

Forgetting to check for extraneous solutions after solving.

Tags

CCSS.HSA.REI.A.2

Front

What does it mean if a radical equation has no solution?

Back

It means that there are no values for the variable that satisfy the equation.

Tags

CCSS.HSA.REI.A.2

Front

How can you check if your solution to a radical equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.HSA.REI.A.2

Front

What is an extraneous solution?

Back

A solution that emerges from the process of solving the equation but does not satisfy the original equation.

Tags

CCSS.HSA.REI.A.2

Front

Solve the radical equation: √(x + 9) = 5.

Back

x = 16.

Tags

CCSS.HSA.REI.A.2

Front

Solve the radical equation: √(2x - 4) = 6.

Back

x = 28.

Tags

CCSS.HSA.REI.A.2