Quadratic Formula

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Tags

CCSS.HSA-REI.B.4B

How many x-intercepts does it have?

• 0

• 1

• 2

• 4

Tags

CCSS.HSF-IF.C.7C

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400, 2 real root 

• 0, 1 real root with a multiplicity of 2

• -400, 2 imaginary roots

• -3, 2 imaginary roots

Tags

CCSS.HSA-REI.B.4B

If there is one solution, the discriminant is . . .

• zero

• a postive number

• a negative number

• a perfect square

Tags

CCSS.HSA-REI.B.4B

Make a true statement about about Graph A

The discriminant is ​ (a)  

There will be ​ (b)  

• zero

• one real solution

• positive

• negative

• two complex solutions

• two real solutions

Make a true statement about about Graph B

The discriminant is ​​ (a)  

There will be ​ ​ (b)  

• negative

• two complex solutions

• positive

• zero

• one real solution

• two real solutions

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Tags

CCSS.HSA-REI.B.4B

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

Solve Using the Quadratic Formula 
2x² + 7x - 15 = 0

• -1.5 or 5

• No Solution

• -5 or 1.5

• 0.7 or 5

Tags

CCSS.HSA-REI.B.4B