Imaginary Solutions with Quadratic Formula

If the graph of a quadratic does not touch the x-axis at any point, then it has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solution / Imaginary solutions

Tags

CCSS.HSF-IF.C.7A

Will the following equation have an IMAGINARY answer
11x²-9x+3=0

• yes

• no

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, you will have....

• two real solutions

• two irrational solutions

• two imaginary solutions

• one solution

Tags

CCSS.HSA-REI.B.4B

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

Find the solutions of the quadratic equation x^2 + 4 = 0.

• x = 1, x = -1

• x = 2, x = -2

• x = 2i, x = -2i

• x = 4i, x = -4i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by ANY method you have learned: x²−2x+11=0

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by the method of your choice

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 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 the quadratic equation 2x^2 + 8 = 0 by using square roots with imaginary numbers.

• x = ±3i

• x = ±2i

• x = ±4i

• x = ±5i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7