Download presentation

Presentation is loading. Please wait.

Published byGodfrey Green Modified over 4 years ago

2
5.6 Quadratic Formula & Discriminant By: L. Keali’i Alicea

3
Goals Solve quadratic equations using the quadratic formula. Use the quadratic formula in real-life situations.

4
Discriminant: b 2 -4ac The discriminant tells you how many solutions and what type you will have. If the discrim: Is positive – 2 real solutions Is negative – 2 imaginary solutions Is zero – 1 real solution

5
Examples Find the discriminant and give the number and type of solutions. a. 9x 2 +6x+1=0 a=9, b=6, c=1 b 2 -4ac=(6) 2 -4(9)(1) =36-36=0 1 real solution b. 9x 2 +6x-4=0 a=9, b=6, c=-4 b 2 -4ac=(6) 2 -4(9)(-4) =36+144=180 2 real solutions c. 9x 2 +6x+5=0 a=9, b=6, c=5 b 2 -4ac=(6) 2 -4(9)(5) =36-180=-144 2 imaginary solutions

6
Quadratic Formula (Yes, it’s the one with the song!) If you take a quadratic equation in standard form (ax 2 +bx+c=0), and you complete the square, you will get the quadratic formula!

7
When to use the Quadratic Formula Use the quadratic formula when you can’t factor to solve a quadratic equation. (or when you’re stuck on how to factor the equation.)

8
Examples 1. 3x 2 +8x=35 3x 2 +8x-35=0 a=3, b=8, c= -35 OR

9
2. -2x 2 =-2x+3 -2x 2 +2x-3=0 a=-2, b=2, c= -3

10
Assignment 5.6 A (odd)

Similar presentations

© 2020 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