Quadratic Equations Complex Solutions

Solve for x: 

• x = {-4, -1}

• x = {-1, -4}

• x = {2+i, 2-i}

• x = {-2+i, -2-i}

Solve for x:

• x = {-3+2i, -3-2i}

• x = {7, 6}

• x = 2±i√3

• No solution

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) 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.

What is the discriminant?

• b²-4ac

• b²/2a

• 4ac

• b²±4ac

How does the quadratic equation show that there should be two complex solutions?

• b²

• ±

• b² - 4ac

• 2a

Find the roots of the equation.

If b²-4ac is negative, the quadratic equation has:

• Two real solutions

• Two imaginary solutions

• One real solution

• No solution

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions