11.5 solving radical equations
DESCRIPTION
11.5 Solving Radical Equations. Algebra 2.0. 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. Tips. Always get the radical symbol alone - PowerPoint PPT PresentationTRANSCRIPT
11.5 Solving Radical Equations
Algebra 2.0
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.
Tips
1) Always get the radical symbol alone2) Square both sides3) Do inverse operations 4) Check for extraneous solutions
Ex 1-Solving Simple Radical Equations
Practice 1
Ex 2-Solving Radical Equations byAddition or Subtraction
Ex 2-Solving Radical Equations byAddition or Subtraction
Practice 2
Ex 3-Solving Radical Equations byMultiplication or Division
Practice 3
Ex 4-Solving Radical Equations with Square Roots on Both Sides.
Practice 4
Ex 5-Extraneous Solutions• Squaring both sides of an equation can lead to extraneous solutions.
Practice 5
Ex 6-Geometry Application• Draw a picture, if necessary.• Use a formula from 7th grade• Solve with Algebra skills
Practice 6
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?