How many solutions does $2+x^2=0$ have?

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Answer 1 · 2016-11-11T14:55:56

There are no real number solutions to this problem.

There are no real solutions to this problem because:

$2 + x^2 = 0$

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

$x^2 = -2$

The square of any real number is always positive therefore there are no real number solutions to this problem.

How many solutions does 2+x^2=02+x^2=0 have?