Question

What is the solution of the equation when solved over the complex numbers? x^2+27=0

Answer 1

Answer:

(0,27)

Step-by-step explanation:

x2 + 27 = 0

Solutions based on quadratic formula:

x1  

= −0 − √ 02 − 4×1×27   2×1 = 0 − 6 × √ 3 i   2 ≈ −5.196152i

x2  

= −0 + √ 02 − 4×1×27   2×1 = 0 + 6 × √ 3 i  2 ≈ 5.196152i

Extrema:

Min = (0, 27)

Answer 2

Answer:

$x =i\sqrt{27}$

Step-by-step explanation:

$x^2+27=0$

To solve for x, we need to get x alone

$x^2+27=0$

Subtract 27 from both sides

$x^2+27-27=0-27$

$x^2=-27$

To remove square root , take square root on both sides

$\sqrt{x^2} =\sqrt{-27}$

$x =\sqrt{-27}$

The value of square root (-1) is 'i'

$x =i\sqrt{27}$