Introduction to Solving Quadratic Equations

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Presentation transcript:

Introduction to Solving Quadratic Equations Objective: Solve quadratic equations by taking square roots

Square Roots

Square Roots

Example 1

Example 1

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

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

Example 2

Example 2

Try This Solve

Try This Solve Divide by 4 Square root both sides Subtract 2 from both sides

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?

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?

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.

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?

Pythagorean Theorem

Example 4

Example 4

Example 4

Try This

Try This

Try This

Example 5

Example 5

Example 5

Example 5

Try This

Try This

Try This

Try This

Homework Pages 286-287 15-43 odd