Download presentation

Published byProsper Bishop Modified over 5 years ago

1
Quadratic Equations Sum and Product of the Roots

2
**Solve for x by using the quadratic formula:**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Solve for x by using the quadratic formula: a. What is the sum of its roots? = -7 b. What is the product of its roots? -3 -4 = 12

3
**Sometimes you are given information backwards!**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Sometimes you are given information backwards! You may be given information and asked to write a quadratic equation. Remember – it’s all about finding which factors of ac add to b.

4
**Sum and Product of Roots for a Quadratic Equation**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Sum and Product of Roots for a Quadratic Equation The sum of the roots is:

5
**The product of the roots is:**

Aim: Use the sum and product of the roots in order to write a quadratic equation. The product of the roots is:

6
**Sum of roots = Product of roots =**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Sum of roots = Product of roots = Given the equation x2 + x – 20 = 0, a = 1 b = 1 c = -20 a. What is the sum of the roots? = = -1 b. What is the product of the roots? = = -20

7
**Sum of roots = Product of roots =**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Sum of roots = Product of roots = The roots of a quadratic are and -b = 39 a. What is the sum of the roots? b = -39 a = 20 b. What is the product of the roots? c = - 80 c. What is the quadratic equation? 20 x2 -39 x - 80 = y

8
**Sum of roots = Product of roots =**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Sum of roots = Product of roots = The roots of a quadratic are 5 + 2i and 5 – 2i. a. What is the sum of the roots? -b = 10 b = - 10 (5 + 2i) + (5 – 2i) = 10 a = 1 b. What is the product of the roots? (5 + 2i) (5 – 2i) = i – 10i – 4i2 c = + 29 25 – 4(-1) = 29 c. What is the quadratic equation? 1 x2 - 10 x + 29 = y

9
**Sum of roots = Product of roots =**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Sum of roots = Product of roots = The roots of a quadratic are and a. What is the sum of the roots? -b = 6 b = - 6 a = 1 b. What is the product of the roots? c = + 7 c. What is the quadratic equation? 1 x2 - 6 x + 7 = y

10
**Sum of roots = Product of roots =**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Sum of roots = Product of roots = The sum of the roots of a quadratic is , the product of the roots is What is the equation of the quadratic? -b = 3 c = -2 b = - 3 a = 4 a = 2 ( ) 2 a = 4 4 x2 - 3 x - 2 = y

11
**Sum of roots = Product of roots =**

Aim: Use the sum and product of the roots in order to write a quadratic equation. Sum of roots = Product of roots = Find k such that -3 is a root of x2 + kx – 24 = 0. Product = Sum =

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