Solving Equations with Imaginary Solutions

• no real solution

• 1 real solution

• 2 real solutions

• imaginary

• fake

• intangible

• i

• a

• e

• b

g

h

i

f

4

i

-5

√

10

8

-i

5

-4

a

b

h

c

2

-2

8

√

∜

-8

4

i

-i

-4

f

g

e

h

i

-1

√

-8

-3

3

8

-i

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2

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

• x = ±2i

• x = ±4i

• x = ±8i

• x = ±6i

Solve by taking square roots.

x² = -121

• ± 11

• ± 11i

• ± 12

• 11i

Solve for x: 3x² - 6x + 6 = 0

• x = 1± i

• x = 3, -6

• x = 4.8, 2.7

• Undefined

x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2

• (5 - √15)/2  ,  (5 + √15)/2

• (5 - i√65)/2  ,  (5 + i√65)/2

• (5 - √65)/2  ,  (5 + √65)/2