solving quadratic equations using quadratic formula

discriminant
quadratic equations
quadratic formula
standard form of quadratic eqaution

1. Solving Quadratic Equations by Using the Quadratic Formula

2. Solving Quadratic Equations by using quadratic formula In this lesson you will learn how to use the quadratic formula to solve any quadratic equation.

3. Quadratic formula is used to solve any kind of quadratic equation. You can read this formula as: Where a  0 and b 2 – 4 a c ≥ 0. x equals the opposite of b , plus or minus the square root of b squared minus 4 a c , all divided by 2 a .  

4. Rule for Using the Quadratic Formula The equation must be in standard form, It will be very helpful to list out a = , b = , and c = each time you use the formula to minimize your mistakes.

5. : Set me to your standard Write the following equations in standard form, then identify the values of a, b, c. 1.2x 2 + 3 x = 27 a= 2 , b= 3 , c = -27 2x 2 + 3x - 27=0 Activity 1

6. Solve by quadratic formula 1.2x 2 + 3x = 27 1.2x 2 + 3x – 27= 0     a = 2, b = 3, c = -27

7. 2. 2x 2 +7x =- 5 Solution: a = 2, b = 7 c = 5 2x 2 +7x + 5 = 0    

8. 3. x 2 -2x = 8 Solution: a = 1, b = -2, c = -8 x 2 – 2x - 8=0    

9. 4. x 2 -7x = 10 Solution: a =1, b = -7, c = -10 x 2 - 7x -10 = 0  

10. Exercises: 1. x 2 + 10x + 9 = 2. x 2 + 5x – 14 = 0 3. X 2 + 7x = 4 Solve the following quadratic equations by using the quadratic formula