Solving Quadratic Equations Using the Quadratic Formula Part 2

Solving Quadratic Equations Using the Quadratic Formula Example: Eliminate the fractions by multiplying by 8. x 2 – 8x + 20 = 0  a = 1, b = -8, and c = 20

Solving Quadratic Equations Using the Quadratic Formula Example: 5w 2 = 2  a = 5, b = -2, and c = 0 5w 2 – 2 = 0

Solving Quadratic Equations Using the Quadratic Formula Example: Find three positive consecutive even integers whose squares have a sum of Let the three positive consecutive even integers be x, x + 2, and x + 4. Then x 2 + (x + 2) 2 + (x + 4) 2 = 2360 x 2 + x 2 + 4x x 2 + 8x + 16 = x x – 2340 = 0  x 2 + 4x – 780 = 0

Solving Quadratic Equations Using the Quadratic Formula x 2 + 4x – 780 = 0  a = 1, b = 4, and c = 780 x = 26 or x = -30 Since our integers must be positive, it must be x = 26. Therefore, the integers are 26, 28, and 30.

Homework Do # 9, 10, 12, 15, 16, 17, 19, 22 on page 174 from Section 5.8 for Friday May 15 th Don’t forget to hand in Assignment #2