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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? x 4x 2 x 8x 2 x 12 x 2 2 b add 4a Solve each for x by completing the square. Check answers. x 4x 3 2 x 16 x 36 2 x 10 x 11 2 x 6x 2 2 1) Get all the terms with variables on one side and all the constants on the other. 2) Complete2 the square by adding b to both sides. 4a 3) Solve Solve each for x by completing the square. Check answers. 4 x 8 x 21 2 9 x 6 x 10 2 16 x 16 x 5 2 4 x 12 x 5 2 1) Get all the terms with variables on one side and all the constants on the other. 2) Complete2 the square by adding b to both sides. 4a 3) Solve Solve each for x by completing the square. Check answers. 3x 3x 16 1 2 x 3x 14 2 2 2 x 4 x 16 2 1) If the lead coefficient IS NOT a perfect square, then multiply both sides by an integer that will make it a perfect square. 2) Get all the terms with variables on one side and all the constants on the other. 3) Complete the square by adding b 2 to both sides. 4) Solve 4a The height of an object moving under the force of gravity can be modeled by h 16t vt s 2 Where h is the height, t is time, v is the initial velocity, and s is the initial height. Ivy Manu throws a ball from a height of 5 feet and a velocity of 30 feet per second. What is the maximum height of the ball and how long will it take to hit the ground?