Quadratic Formula & Discriminant Review

What is the quadratic formula?

What part of a parabola does the quadratic formula help us find?

Determine the values of

a, b, and c for

the quadratic equation:

0= x² +5x +7

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

*remember one side should =0

Use the quadratic formula to find the solutions for

0 = -x² - 5x + 12

Solve Using the Quadratic Formula

x² + 4x - 40 = -8

*remember one side should = 0

The discriminant is

____________

For the function above, is the discriminant positive, negative, or zero?

____________

For the function above, is the discriminant positive, negative, or zero?

For the function above, is the discriminant positive, negative, or zero?

Determine the value of the discriminant and how many solutions the equation has.

x² + 7x + 13 = 0

Find the discriminant of the following equation. (Hint: make =0 first!)

3x² -x + 3 = 5

 $-18x=x^2+81$  

Find the discriminant and number  of solutions

 $4x^2-4x-24=0$  

Find the discriminant and  number of solutions

Solve using the quadratic formula

x² - 14x = -49

Solve using quadratic formula

 $3x^2+6x+3=0$  

Use the discriminant to determine the number of solutions

4x² + 4x + 1 = 0 has?

What is the discriminant of this equation?

3x² + 8x = 0

What is the discriminant and how many solutions would this quadratic have?

-8x² + 6x - 4 = 0

If the discriminant is equal to -2, how many solutions are there?

If the discriminant is equal to 4, how many solutions are there?

If the discriminant is equal to 0, how many solutions are there?

Use the discriminant to determine the number of solutions the following quadratic equation has.

-2x² − x − 1 = 0

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

Use the quadratic formula to find the solutions for

y = 3x³ + 8x - 1