1. Lesson 3 Contents Example 1Radical Equation with a Variable Example 2Radical Equation with an Expression Example 3Variable on Each Side

2. Example 3-1a Free-Fall Height An object is dropped from an unknown height and reaches the ground in 5 seconds. From what height is it dropped? Use the equationto replace t with 5 seconds. Original equation Replace t with 5. Multiply each side by 4. Square each side. Simplify.

3. Example 3-1a Check Original equation Answer: The object is dropped from 400 feet. and

4. Example 3-1b Free-Fall Height An object is dropped from an unknown height and reaches the ground in 7 seconds. Use the equationto find from what height it is dropped. Answer: 784 ft

5. Example 3-2a Solve Answer: The solution is 52. Original equation Subtract 8 from each side. Square each side. Add 3 to each side.

6. Example 3-2b Answer: 60 Solve

7. Example 3-3a Solve Original equation Square each side. Simplify. Subtract 2 and add y to each side. Factor. Solve. Zero Product Property or

8. Example 3-3a Check Answer: Since –2 does not satisfy the original equation, 1 is the only solution.

9. Example 3-3b Solve Answer: 3

10. End of Lesson 3