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

Nov 11, 2016

There are no real number solutions to this problem.

#### Explanation:

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.