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

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

• yes

• no

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

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

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

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10

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

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

• x = ±2i

• x = ±4i

• x = ±8i

• x = ±6i

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.

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

• x = ±3i

• x = ±2i

• x = ±4i

• x = ±5i