Download presentation

Published byVincent Barton Modified over 4 years ago

1
**Lesson 10.4: Solving Quadratic Equations Using the Quadratic Formula, pg. 546**

Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant to determine the number and type of roots of a quadratic equation.

2
Quadratic Formula The solutions of a quadratic equation of the form ax² + bx + c = 0, where a ≠ 0, are given by the following formula. To solve quadratic equations using the quadratic formula, the equation must be set equal to ZERO

3
**Example 1: Solve by using the quadratic formula.**

1. x² - 2x – 35 = 0

4
**Round to the nearest tenth if necessary.**

2. 15x² - 8x = 4

5
3. 2(12g² - g) = 15

6
4. 3x² + 5x +11

7
**Discriminant: To find the number and types of roots of a quadratic equation use b² - 4ac**

x = b² - 4ac > 0; real roots positive b² - 4ac = 0; real root b² - 4ac < 0; no real roots negative

8
**Ex. 2: Describe the roots using the discriminant.**

1. 4x² - 2x + 14 = 0 2. x² + 24x = -144

9
3. 3x² + 10x = 12 4. x² - 11x + 10 = 0

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