5.8 Radical Equations and Inequalities

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Presentation transcript:

5.8 Radical Equations and Inequalities Extraneous solution Radical Inequalities

Definition of Radical Equation Equations with variables in the radicand

How to solve Radical Equation Get the radical only by adding 5 to each side of the equation.

How to solve Radical Equation Square both sides of the equation. Subtract 3

Radical on both sides of the equation

Radical on both sides of the equation Make sure you check your answer!

Radical on both sides of the equation Make sure you check your answer!

Extraneous Solution A solution when check in the original equation make the equation false.

Extraneous Solution Check in the original equation No Solution

Radical Inequality If the index is even, find what values are possible. Solve

Radical Inequality Solve the inequality as if it was equal

Radical Inequality Solve the inequality as if it was equal Answer is Check your answer, x=4

Solve

Solve

Solve

Solve

Solve

Solve

Homework Page 266 # 13 – 37 odd

Homework Page 266 # 14 – 38 even