Bell Work

Solve the Equation by Factoring or using Square Roots:1.

2.

Solve the equation by using the quadratic formula:3.

Identify the parts of a parabola:

4. A ________________ B ________________

A A

B

Objective for Today

Find the discriminant and determine the nature of the roots

Solve for roots/zeros of a quadratic function

Discriminant is the equation used to determine the type of roots for a quadratic equation.

What is a root? Roots are also known as: Zeros Solutions X-intercepts

What is the Discriminant?

2 4b acDiscriminant Equation

Examples

21a) 2 3 0x x 22a) 2 4 2 0x x 23a) 2 4 3 0x x

.

Look at the graphs. What do you notice?

21a) 2 3 0x x 22a) 2 4 2 0x x 23a) 2 4 3 0x x

What’s a conjecture? An opinion or conclusion formed on the basis of

information

There are 2 real roots when _________________________

There is 1 real roots when ___________________________

There are 0 real roots when _________________________

Make a conjecture

1.

2.

3.

4.

Practice Problems

22 5 6 0x x

24 5 3 0x x

23 6 3 0x x

2 8 0x

More Practice

Find the discriminant of the following quadratic function. Then solve.

562 xxy

Practice Find the discriminant for each equation.

Then solve.

#1) 3x²-6x + 4 =0

#2) 3x²-6x + 3 =0

#3) 3x²-6x + 2 = 0

Homework

LESSON 5.6 PAGE 320 24-38 EVENS