# How do you solve 3x^4+38=0?

Dec 12, 2016

$3 {x}^{4} + 38 = 0$ has no Real solutions.

#### Explanation:

For all Real values of $x$
$\textcolor{w h i t e}{\text{XXX}} {x}^{2} \ge 0$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow {x}^{4} \ge 0$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 3 {x}^{4} \ge 0$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 3 {x}^{4} + 38 > 0$