11.5 Solving Radical Equations

1
11.5 Solving Radical Equations

• Algebra 2.0

2
Main Idea Vocabulary

• A radical equation is an equation that contains a
  radical with a variable.
• We will use our solving skills, inverse
  operations and the property below in this lesson.

3
Tips

1. Always get the radical symbol alone
2. Square both sides
3. Do inverse operations
4. Check for extraneous solutions

4
Ex 1-Solving Simple Radical Equations
5
Practice 1
6
Ex 2-Solving Radical Equations byAddition or
Subtraction
7
Ex 2-Solving Radical Equations byAddition or
Subtraction
8
Practice 2
9
Ex 3-Solving Radical Equations byMultiplication
or Division
10
Practice 3
11
Ex 4-Solving Radical Equations with Square Roots
on Both Sides.
12
Practice 4
13
Ex 5-Extraneous Solutions

• Squaring both sides of an equation can lead to
  extraneous solutions.

14
Practice 5
15
Ex 6-Geometry Application

• Draw a picture, if necessary.
• Use a formula from 7th grade
• Solve with Algebra skills

16
Practice 6
17
Review

• How do you solve a radical equation with square
  roots on both sides?
• What type of solutions must we look out for when
  squaring both sides of a radical equation?
• How do we know if our solutions are extraneous?