Answer:
B. [tex]-5i[/tex]
D. [tex]5i[/tex]
Step-by-step explanation:
Remember that the imaginary unit is equal to:
[tex]i^2 = -1[/tex]
And getting the square root in both sides of the equation we get:
[tex]i = \sqrt{-1} \quad \land \quad -i = \sqrt{-1}[/tex]
The with our expression we develop of the next way:
[tex]x^2 = -25\\x = \sqrt{-25}[/tex]
However in the real numbers doesn't exist solution for such operation then you use the complex numbers for represent the operation.
[tex]x = 5i \quad \land \quad x = -5i[/tex]
In this occasion we use [tex]i[/tex] and [tex]-i[/tex] because both represent a negative square root, so our final answer is:
B and D
