Answer:
A. 10i and -10i
Step-by-step explanation:
We are given our equation as
[tex]x^2+101=1\\[/tex]
Let us subtract 101 from both hand sides
[tex]x^2+101-101=1-101\\[/tex]
[tex]x^2=-100[/tex]
Now taking square roots on both hand sides
[tex]\sqrt{x^{2}}} = \sqrt{-100}[/tex]
[tex]x=\sqrt{100} * \sqrt{-1}[/tex]
[tex]x=10 * (+i) \\x=10*(-i)\\[/tex]
[tex]x=+10i \\x=-10i\\[/tex]
