Equations with Imaginary Number Solutions

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

Solve x² - 5x + 10 = 0.

• x = (5 - i√15)/2, (5 + i√15)/2

• x = (5 - √15)/2, (5 + √15)/2

• x = (5 - i√65)/2, (5 + i√65)/2

• x = (5 - √65)/2, (5 + √65)/2

Solve for x:

3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

• 3 and -3
  

• 9i and -9i
  

• 9 and -9
  

• 3i and -3i
  

Find the solution to the equation: 2x - 3i = 7

• x = 3.5 + 1.5i

• x = 2 + 3i

• x = 5 - 2i

• x = 4 - 1i

2(x - 8)² + 40 = 16

• x = 8 ± 2i√3

• x = 8 ± √-12

• x = -8 ± 2i√3

• x = 8 ± 3i√2

Solve.   x² = √-90

• x = 3√10

• x = 9i√10

• x = ± 3√10

• x = ± 3i√10

x² + 36 = 0

• x = ±6

• x = 6i

• x = -6

• x = ±6i

Solve for x: 3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined