# Radical Equations: KEY IDEAS An equation that has a radical with a variable under the radicand is called a radical equation. The only restriction on to.

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Radical Equations: KEY IDEAS An equation that has a radical with a variable under the radicand is called a radical equation. The only restriction on to our solutions is that the radicand can not be a negative number. Why? Radicand Radical

Some equations may result into something called an “extraneous root”. Using your best guess, define the term “extraneous root”. Answer: Extraneous Root/Solution is a solution of an equation that does not satisfy the original equation.

Solving Radical Equations 1.Get the radical on one side. 2. Square both sides of the equals sign. 3. Solve for the variable. 4.Check your answer. If the answer doesn’t check, then it is an extraneous solution ……so write “no solution.”

If you have a square root equaling a negative number there is no solution.

Divide both sides by 5

EXAMPLE 1:

EXAMPLE 2:

EXAMPLE 3:

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