Download presentation

Published byDaniel Grant Modified over 5 years ago

1
2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square

2
**Steps to complete the square**

1.) You will get an expression that looks like this: AX²+ BX 2.) Our goal is to make a square such that we have (a + b)² = a² +2ab + b² 3.) We take ½ of the X coefficient (Divide the number in front of the X by 2) 4.) Then square that number

3
**To Complete the Square x2 + 6x**

3 Take half of the coefficient of ‘x’ Square it and add it 9 x2 + 6x + 9 = (x + 3)2

4
**Complete the square, and show what the perfect square is:**

5
**To solve by completing the square**

If a quadratic equation does not factor we can solve it by two different methods 1.) Completing the Square (today’s lesson) 2.) Quadratic Formula (Next week’s lesson)

6
**Steps to solve by completing the square**

1.) If the quadratic does not factor, move the constant to the other side of the equation Ex: x²-4x -7 =0 x²-4x=7 2.) Work with the x²+ x side of the equation and complete the square by taking ½ of the coefficient of x and squaring Ex. x² -4x 4/2= 2²=4 3.) Add the number you got to complete the square to both sides of the equation Ex: x² -4x +4 = )Simplify your trinomial square Ex: (x-2)² =11 5.)Take the square root of both sides of the equation Ex: x-2 =±√11 6.) Solve for x Ex: x=2±√11

7
**Solve by Completing the Square**

+9

8
**Solve by Completing the Square**

+121

9
**Solve by Completing the Square**

+1

10
**Solve by Completing the Square**

+25

11
**Solve by Completing the Square**

+16

12
**Solve by Completing the Square**

+9

13
**The coefficient of x2 must be “1”**

14
**The coefficient of x2 must be “1”**

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