Question

5x2+90=0 solve equation

Answer 1

The given equation is

$5x^2+90=0$

First, subtract 90 from each side.

$\begin{gathered} 5x^2+90-90=-90 \\ 5x^2=-90 \end{gathered}$

Second, divide both sides by 5.

$\begin{gathered} \frac{5x^2}{5}=-\frac{90}{5} \\ x^2=-18 \end{gathered}$

Fourth, apply a square root on both sides.

$\begin{gathered} \sqrt[]{x^2}=\sqrt[]{-18} \\ x=\sqrt[]{-18} \end{gathered}$

The equation has no real solutions because the square root of a negative number does not exist.