SWBAT… solve quadratic equations Tues, 2/7 Agenda 1. Warm-up (15 min) 2. Solving quadratic equations (10 min) 3. Graphing calculator activity (10 min)

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SWBAT… solve quadratic equations Tues, 2/7 Agenda 1. Warm-up (15 min) 2. Solving quadratic equations (10 min) 3. Graphing calculator activity (10 min) 4. 4 additional problems (10 min) Warm-Up: Factor each expression: 1. x x p 2 – 10pq + 16q 2 3. n 6 + n 3 – 56 HW#6: Quadratic Equations: x 2 + bx + c

Steps to solve quadratic equations: 1.) Set equation = 0 2.) Factor the equation 3.) Set each factor = 0 4.) Solve each variable 5.) Check both solutions Example: x x = ) x x + 18 = 0 2.) (x + 2)(x + 9) = 0 3.) x + 2 = 0 or x + 9 = 0 4.) x = -2 or x = -9

CHECK: Plug both answers into original equation x x = -18 or x x = -18 (-2) (-2) = -18 (-9) (-9) = – 22 = – 99 = = = -18

On your graphing calculator graph x x + 18 You will need to change the “window”  x-min = -15  y-max = 15  y-min = -15  y-max = 15 What conclusion can you make about the solutions of a quadratic and it’s graph?  The solutions of a quadratic equation is where the parabola crosses the x-axis. The solutions of a quadratic may also be called roots, zeros or x-intercepts.

Solve each equation: m 2 – m = 0 2. c 2 = 3c 3. Find all the values of k: x 2 + kx – A rectangle has an area represented by x 2 – 4x – 12 feet 2. If the length is x + 2 feet, what is the width of the rectangle?