Quadratic Formula Imaginary Solutions

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

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

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

Determine the solutions of the equation 4x^2 + 16 = 0 using square roots with imaginary numbers.

• x = ±2i

• x = ±4i

• x = ±8i

• x = ±6i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Avery, Ethan, and Rohan are having a heated debate about quadratic equations. They are trying to figure out the difference between real and complex solutions. Can you help them out?

• Real solutions are complex numbers, while complex solutions involve real numbers.

• Real solutions are rational numbers, while complex solutions involve irrational numbers.

• Real solutions are real numbers, while complex solutions involve imaginary numbers.

• Real solutions are positive numbers, while complex solutions involve negative numbers.

Answer explanation

Real solutions are real numbers, while complex solutions involve imaginary numbers.

Tags

CCSS.HSN.CN.A.1

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

Tags

CCSS.HSA-REI.B.4B