1. x2 – 6x = - 5

x² - 6x + 5 = 0

where a = 1, b = -6, and c = 5

2. (2x + 1)(x – 3) = 0

2x² - 6x + x - 3 = 0

2x² - 5x - 3 = 0

where a = 2, b = -5, and c = -3

3. 4x2 = x + 5

4x² - x - 5 = 0

where a = 4, b = -1, and c = -5

4. (x + 4)(x – 9) = 0

x² - 9x + 4x - 36 = 0

x² - 5x - 36 = 0

where a = 1, b = -5, and c = -36

5. x2 – 25 = 0

where a = 1, b = 0, and c = -25

6. (x + 4)(x – 2) = 4x

x² - 2x + 4x - 8 = 4x

x² - 2x + 4x - 4x - 8 = 0

x² - 2x - 8 = 0

where a = 1, b = -2, and c = -8

7. 13x – 36 = x2

-x² + 13x - 36 = 0 (divided by -1)

x² - 13x + 36 = 0

where a = 1, b = -13, and c = 36

8. (x – 3)2 = 12

(x - 3) (x - 3) = 12

x² - 3x - 3x + 9 = 12

x² - 6x + 9 - 12 = 0

x² - 6x - 3 = 0

where a = 1, b = -6, and c = -3

9. 6x2 = - x + 1

6x² + x - 1 = 0

where a = 6, b = 1, and c = -1

10.2x(x + 5) = -3

2x² + 10x = -3

2x² + 10x + 3 = 0

where a = 2, b = 10, and c = 3

Activity 2:

A. How did you find the activities?

By following this standard form format ax²+bx+c=0

B. How would you identify a quadratic equation

Has a variable that’s squared and no variables with powers higher than 2 in any of the terms