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Example 1 Radical Equation with a Variable Example 2 Radical Equation with an Expression Example 3 Variable on Each Side. Lesson 3 Contents. Use the equation to replace t with 5 seconds. Original equation. Replace t with 5. Multiply each side by 4. Square each side. Simplify.
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Example 1Radical Equation with a Variable Example 2Radical Equation with an Expression Example 3Variable on Each Side Lesson 3 Contents
Use the equation to replace t with 5 seconds. Original equation Replace t with 5. Multiply each side by 4. Square each side. Simplify. Free-Fall Height An object is dropped from an unknown height and reaches the ground in 5 seconds. From what height is it dropped? Example 3-1a
Original equation and Check Example 3-1a Answer: The object is dropped from 400 feet.
Free-Fall Height An object is dropped from an unknown height and reaches the ground in 7 seconds. Use the equation to find from what height it is dropped. Answer:784 ft Example 3-1b
Solve Original equation Subtract 8 from each side. Square each side. Add 3 to each side. Example 3-2a Answer: The solution is 52.
Solve Answer:60 Example 3-2b
Solve Original equation Square each side. Simplify. Subtract 2 and add y to each side. Factor. or Zero Product Property Solve. Example 3-3a
Check Example 3-3a Answer: Since –2 does not satisfy the original equation, 1 is the only solution.
Solve Answer:3 Example 3-3b