Characteristics Quadratics

If b²-4ac is negative, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

Tags

CCSS.HSA-REI.B.4B

If b²-4ac is 0, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

Tags

CCSS.HSA-REI.B.4B

What is the discriminant of the quadratic formula?

• b²-4a

• b²-4ac

• b-4ac

• b²-ac

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

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2

• (2 - i√-56)/2   ,   (2 + i√-56)/2

• (2 - i√-14)/2   ,   (2 + i√-14)/2

• (2 - √14)/2   ,   (2 + √14)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Identify the 'a' value:
 y = 16x² - 8x - 24

• 16

• 8

• -8

• -24

Identify the 'b' value:
 y = 16x² - 8x - 24

• 16

• -8

• 8

• -24

The discriminant is

• ax²  + bx  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

What is the following called? b²- 4ac

• Axis of symmetry

• Quadratic Formula

• Vertex

• Discriminant

Tags

CCSS.HSA-REI.B.4B

Solve for x.  Round to the nearest hundredth if necessary.
3x² = 16x + 12

• x = -.67, 6

• x = -6, .67

• x = 3.33, 18

• x = -3.33, 18

Tags

CCSS.HSA-REI.B.4B