Section 5.8The Quadratic Formula

Obj: to solve quadratic equations using the quadratic formula

Obj: to use the discriminant to state the number and nature of solutions to a quadratic equation

Y = a + bx + c

Quadratic Formula:

Discriminant:Tells you what type and how many solutions you can expect to get from your equation

Discriminant:

The discriminant tells you how many and what type (nature) of solutions to expect from your equation.

• If is positive, then your equation will have 2 real solutions.

• If = negative, then your equations will have 2 imaginary solutions.

• If = 0, then your equation will have 1 real solution.

• Ex 1 3 - 5x -2 = 0

• Ex 2 3 - x = 4

• Ex 3 2 = -6x - 7

• Ex 4 -2 = 4x + 3

Assign: Pg. 289 column 1

• Solve using the quadratic formula

• Use the discriminant to predict the number and nature of the solutions.