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7.5 Solving Radical Equations Objective: Be able to solve square root equations and other radical equations.

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Presentation on theme: "7.5 Solving Radical Equations Objective: Be able to solve square root equations and other radical equations."— Presentation transcript:

1 7.5 Solving Radical Equations Objective: Be able to solve square root equations and other radical equations

2 Definitions A radical equation is an equation that has a variable in a radicand (or a variable with a fractional exponent). Steps to solving a radical equation: 1)Isolate the radical on one side of the equation. 2)Raise both sides of the equation to the same power. 3)Check your solution(s). Some may be extraneous.

3 Solving - *check for extraneous solutions

4 CHECK!!

5 Solving - *check for extraneous solutions

6 CHECK!!

7 Solving - *check for extraneous solutions

8 CHECK!!

9 Solving - *check for extraneous solutions Ex4) Solve

10 Solving - *check for extraneous solutions CHECK!!

11 Solving - *check for extraneous solutions Ex5) Solve

12 Solving - *check for extraneous solutions CHECK!!

13 Solving - *check for extraneous solutions PRACTICE!!

14 Solving - *check for extraneous solutions PRACTICE!!

15 6) The volume V of a sphere and its radius r are related by the following cube root equation. What is the volume of a sphere with a radius of 6 cm? Solving - *check for extraneous solutions

16 Homework #11 www.phschool.comwww.phschool.com  web code: age-0705 WATCH These Videos: #2. Solving radical equations with rational exponents #3. Solving radical equations and checking for extraneous solutions #4. Solving equations with two rational exponents DO These Problems: Pg 394 #1, 5, 7, 9, 11, 18, 20, 21, 27


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