Solving Quadratics with Square Roots Method and Imaginary Numbers

Solve.  x² = √-45

• x = ± 3√5

• x = 9i√5

• x = ± 9√5

• x = ± 3i√5

Solve.   x² = √-90

• x = 3√10

• x = 9i√10

• x = ± 3√10

• x = ± 3i√10

Solve.
  x² = √-100

• x = 10i

• x = ± 10i

• x = ±10

• x = √10

Solve.
4x² - 7 = -10

• x = ± (3i)/2

• x = ± (i√3)/2

• x = ± (i√3)/4

• x = ± (i√6)/4

Solve.
 25x² + 18 = 2

• x = ± (i√4)/25

• x = ± (-4)/5

• x = ± (-8)/5

• x = ± (4i)/5

Solve.
 3x² + 2 = 12

• x = ± (i√30)/3

• x = ± √10

• x = ± (√30)/3

• x = ± (i√13)/3

Solve.   x² = √-36

• x = ± 6

• x = 6i

• x = ± 6i

• x = i√6

Solve.    x² = √16

• x = ± 2

• x = ± 4

• x = 4i

• x = 8

Solve    x² = √-25

• x = -5

• x = ± 5i

• x = √5

• x = ± 5

Solve.    x² = √27

• x = ± 3√3

• x = ± 9√3

• x = 3i√3

• x = 3√9