Question

Solve for x: x^2+1=0.
please explain.

Answer 1

\[x^2=-1\]
\[x=\pm\sqrt{-1}\]

Answer 2

or if you prefer
\[x=\pm i\]

Answer 3

this will have complex number answer

subtract 1 from both sides

\[x^2 = -1\]

take the square root of both sides

let

\[-1 = i^2\]

so you have

\[x = \pm \sqrt{i^2}\]

I'll leave you to finish the problem.

Answer 4

Okay I get it now. Thanks a lot.