5.2.4a - Discriminant

5.2.4a - Discriminant

Complete the first 3 slides as bell work

 $x=\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

Lets explain each part...

Multiple Choice

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Multiple Choice

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7
• a=1, b=5, c=7
• a=7, b=5, c=1

The discriminant

What's another option for "No solutions"?

Multiple Choice

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Multiple Choice

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

Multiple Choice

A function has a discriminant of 25.
______________
How many solutions does it have?

• 0
• 1
• 2
• 5

Multiple Choice

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

• Positive
• Negative
• Zero
• Not Sure

Multiple Choice

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

• Positive
• Negative
• Zero
• Not Sure

Examples:

• Find the discriminant describe the number and type of x intercepts for each function below:

• a)   $f\left(x\right)=6x^2-8x+5$  

• b)  $y=2x^2-4x+2$  

• c)  $8x^2+10x-7=0$  

Multiple Choice

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

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

Multiple Choice

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

Multiple Choice

What is the discriminant of 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these

Multiple Choice

3 What is the discriminant of

-2x² − x − 1 = 0 ?

• 76

• -7

• 9

• none of these

Multiple Choice

Solve for the discriminant of the given equation -2x² -6x=0

• -36

• 36

• 0

• 44