Quadratic Formula with Complex Roots

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

• b²

• ±

• b² - 4ac

• 2a

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

• -5i
• 5
• 5i
• -5

Solve by taking square roots:

k² - 6 = -50

• k = ±4i√11

• k = ±4√11

• k = ±2i√11

• k = ±2√11

Solve by taking square roots.

x² = -121

• ± 11

• ± 11i

• ± 12

• 11i

The discriminant is

• aX²  + bX  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

Solve for x: 

• x = {-4, -1}

• x = {-1, -4}

• x = {2+i, 2-i}

• x = {-2+i, -2-i}

• Two distinct real roots

• One real root

• Two complex roots

• No roots