Quadratics and Imaginary Solutions

Simplify √-4

• 2i

• -2i

• 2

• 4i

What does i² =  ?

• 1

• -1

• √-1

• √1

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

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

• x = ±3i

• x = ±2i

• x = ±4i

• x = ±5i

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

• x = ±2i

• x = ±4i

• x = ±8i

• x = ±6i

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

• x = ±2

• x = ±2i

• x = ±4

• x = ±4i

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

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

• yes

• no

• -5i
• 5
• 5i
• -5

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.