Warm-up Find the domain and range from these 3 equations.

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Presentation transcript:

Warm-up Find the domain and range from these 3 equations.

Section 6-6 Radical Equations Chapter 6 Section 6-6 Radical Equations

Objectives I can solve equations containing radicals I can solve equations containing rational exponents I can determine if a solution is Extraneous

Solving Radical Equations Follow the same rules as any equation Variable on left Numbers on Right Check your answers

Undoing The Square Root We undo addition with subtraction We undo multiplication with division How do we undo the square root? We square it!!

Undoing Radicals

Radical Equations When solving radical equations make sure only the radical is on the left when you start the problem. (This is like solving absolute value) ALWAYS Check answers. You may get Extraneous Solutions from radicals.

Example 1

Example 2

Example 3

Example 4 .

Undoing Rational Exponents We undo the square root by Squaring It We undo a rational exponent by using the Reciprocal of that exponent

Undoing Rational Exponents

Solve an equation with a rational exponent EXAMPLE 4 Solve an equation with a rational exponent Solve (x + 2)3/4 – 1 = 7. (x + 2)3/4 – 1 = 7 Write original equation. (x + 2)3/4 = 8 Add 1 to each side. (x + 2)3/4 4/3 = 84/3 Raise each side to the power . 4 3 x + 2 = (23)4/3 Apply properties of exponents. x + 2 = 24 Simplify. x + 2 = 16 Simplify. x = 14 Subtract 2 from each side.

Homework Worksheet 10-5