# How do you solve -2m ^ { 2} - 6= 0?

Oct 27, 2016

There are no real solutions.

#### Explanation:

$- 2 {m}^{2} - 6 = 0$

Although this is a quadratic $\left({m}^{2}\right)$ we can use a different method to solve it because there is no $m$ term.

Write it as $\text{ "2m^2 = -6" } \leftarrow$ solve for $m . \div 2$

${m}^{2} = - 3 \text{ } \leftarrow$ find the square root

$m = \pm \sqrt{-} 3$

This is where we hit a problem, because you cannot find the square root of a negative value.

Therefore: there are no Real solutions for this equation