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**Introduction to Solving Quadratic Equations**

Objective: Solve quadratic equations by taking square roots

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Square Roots

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Square Roots

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Example 1

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Example 1

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Try This Solve Give exact solutions. Then approximate the solution to the nearest hundredth.

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Try This Solve Give exact solutions. Then approximate the solution to the nearest hundredth. We need to get x by itself. Add 19 to both sides Divide by 5 Square root both sides

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Example 2

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Example 2

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Try This Solve

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**Try This Solve Divide by 4 Square root both sides**

Subtract 2 from both sides

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Example 3 A rescue helicopter hovering 68 feet above a boat in distress drops a life raft. The height in feet of the raft above the water can be modeled by , where t is the time in seconds after it is dropped. After how many seconds will the raft dropped from the helicopter hit the water?

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Example 3 A rescue helicopter hovering 68 feet above a boat in distress drops a life raft. The height in feet of the raft above the water can be modeled by , where t is the time in seconds after it is dropped. After how many seconds will the raft dropped from the helicopter hit the water? What are they asking us in terms of our equation?

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Example 3 A rescue helicopter hovering 68 feet above a boat in distress drops a life raft. The height in feet of the raft above the water can be modeled by , where t is the time in seconds after it is dropped. After how many seconds will the raft dropped from the helicopter hit the water? What are they asking us in terms of our equation? They are asking when is the height of the raft zero.

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Example 3 A rescue helicopter hovering 68 feet above a boat in distress drops a life raft. The height in feet of the raft above the water can be modeled by , where t is the time in seconds after it is dropped. After how many seconds will the raft dropped from the helicopter hit the water?

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Pythagorean Theorem

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Example 4

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Example 4

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Example 4

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Try This

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Try This

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Try This

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Example 5

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Example 5

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Example 5

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Example 5

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Try This

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Try This

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Try This

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Try This

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Homework Pages 15-43 odd

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2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side.

2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side.

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