Lesson 4

1. Lesson 4

1.4. Discover

Mathematics 20-1 Module 5

Module 5: Radicals

 

Discover

 

In this section you will

  • solve an equation with one radical

  • solve an equation with two radicals
Try This 1
  1.  
    1. Solve the radical equation 7 − = 3. hint

    2. 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.

  2.  
    1. Solve the radical equation .

    2. 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.

  3. What is different between solving these equations and solving a regular linear equation?

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Share 1

 

Based on your observations from Try This 1, respond to the following questions with a partner or group.

  1. When the equation contains a variable inside the radical sign, what do you need to do differently to solve the equation?

  2. Summarize your discussion by creating a general rule about solving equations where the variable is under a radical sign.

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Step 1: Isolate the radical.

 

Step 2: Simplify the expressions.

 

Step 3: Square both sides of the equation to find the variable.