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Chapter 13: Quadratic Relations and Functions Lesson 13-1: Solving Quadratic Equations Date ___________ p.503-508 Perfect Squares ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____ Standard form of a quadratic equation ax 2 bx c 0 To solve quadratic equations: 1. Simplify if possible. 2. Set the equation equal to zero. (if necessary) 3. Factor the quadratic. (Product/Sum) 4. Set each factor equal to zero. 5. Solve each equation. 6. Check each solution. Ex 1| x 2 7 x 10 Ex 2| 2x 2 3x 1. Simplify if possible. 1. Simplify if possible. 2. Set the equation equal to zero. (if necessary) 2. Set the equation equal to zero. (if necessary) 3. Factor the quadratic. (Product/Sum) 3. Factor the quadratic. (Product/Sum) 4. Set each factor equal to zero. 4. Set each factor equal to zero. 5. Solve each equation. 5. Solve each equation. 6. Check each solution. 6. Check each solution. 687305568, page 1 Ex 3| x x 8 2x 25 Ex 4| x 2 9 Date ___________ 1. Simplify if possible. 1. Simplify if possible. 2. Set the equation equal to zero. (if necessary) 2. Set the equation equal to zero. (if necessary) 3. Factor the quadratic. (Product/Sum) 3. Factor the quadratic. (Product/Sum) 4. Set each factor equal to zero. 4. Set each factor equal to zero. 5. Solve each equation. 5. Solve each equation. 6. Check each solution. 6. Check each solution. 687305568, page 2 Date ___________ Ex 5| The height h of a ball thrown into the air with an initial vertical velocity of 24 feet per second from a height of 6 feet above the ground is given by the equation h 16t 2 24t 6 where t is the time, in seconds, that the ball has been in the air. After how many seconds is the ball at a height of 14 feet? HW: p.508/45-50 odds 687305568, page 3