Download presentation

Presentation is loading. Please wait.

Published byEstella O’Brien’ Modified over 5 years ago

2
Sec 5.6 Quadratic Formula & Discriminant

3
Quadratic Formula (Yes, it’s the one with the song!) If ax 2 + bx + c = 0 and a ≠ 0, then the solutions (roots) are: Use the quadratic formula when you can’t factor to solve a quadratic equation The solutions are the x-intercepts (zeros) of the parabola

4
Examples 1.x 2 + 5x – 14 = 0 a=1, b=5, c=-14 OR

5
2.x 2 – 7x + 6 = 0

6
3.4x 2 = 8 – 3x

8
Discriminant: b 2 – 4ac The discriminant tells you how many solutions and what type you will haveThe discriminant tells you how many solutions and what type you will have If positive: 2 real solutions If negative: 2 imaginary solutions If zero: 1 real solution

9
Examples Find the discriminant and give the number and type of solutions.Find the discriminant and give the number and type of solutions. a.9x 2 + 6x + 1 = 0 a=9, b=6, c=1 a=9, b=6, c=1 b 2 – 4ac = (6) 2 – 4(9)(1) =36 – 36 = 0 1 real solution b.x 2 – 6x + 10 = 0 c. x 2 – 6x + 8 = 0

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google