Module 9: Lesson 9.2 Solving Equations by Completing the Square

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Presentation transcript:

Module 9: Lesson 9.2 Solving Equations by Completing the Square What value would have to be added to each to create a perfect square?

Solve each for x by completing the square. Check answers. Get all the terms with variables on one side and all the constants on the other. Complete the square by adding to both sides. Write the polynomial equation as a perfect square. Solve

Solve each for x by completing the square. Check answers. Get all the terms with variables on one side and all the constants on the other. Complete the square by adding to both sides. Write the polynomial equation as a perfect square. Solve

Solve each for x by completing the square. Check answers. If the lead coefficient IS NOT a perfect square, then multiply both sides by an integer that will make it a perfect square. Get all the terms with variables on one side and all the constants on the other. Complete the square by adding to both sides. Write the polynomial equation as a perfect square. Solve

The height of an object moving under the force of gravity can be modeled by Where h is the height, t is time, v is the initial velocity, and s is the initial height. Ivy throws a ball from an initial height of 5 feet and an initial velocity of 30 feet per second. What is the maximum height of the ball and how long will it take to hit the ground?