Quadratics Imaginary Solutions

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

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

What does i² =  ?

• 1

• -1

• √-1

• √1

• 1

• i

• -1

• -i

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

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

• x = ±2i

• x = ±4i

• x = ±8i

• x = ±6i

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions

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

• yes

• no

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions

When does a quadratic equation have complex solutions?

• When the discriminant is positive.

• When the quadratic equation has only one solution.

• When the discriminant is zero.

• When the discriminant is negative.

Answer explanation

A quadratic equation has complex solutions when the discriminant is negative.