Lesson 4
1. Lesson 4
1.4. Discover
Module 5: Radicals
Discover
In this section you will
- solve an equation with one radical
- solve an equation with two radicals
Try This 1
-
- Solve the radical equation 7 −
= 3.
- Verify your solution by substituting the answer into the original equation to see if the expression on the left side is equal to the expression on the right side.
- Solve the radical equation 7 −
-
- Solve the radical equation
.
- Verify your solution by substituting the answer into the original equation to see if the expression on the left side is equal to the expression on the right side. Use a calculator if you wish.
- Solve the radical equation
- What is different between solving these equations and solving a regular linear equation?
Save your work in your course folder.
Share 1
Based on your observations from Try This 1, respond to the following questions with a partner or group.
- When the equation contains a variable inside the radical sign, what do you need to do differently to solve the equation?
- Summarize your discussion by creating a general rule about solving equations where the variable is under a radical sign.
Save your work in your course folder.
Step 1: Isolate the radical.
Step 2: Simplify the expressions.
Step 3: Square both sides of the equation to find the variable.