Answer
$x=7$ and $x=-7$
Work Step by Step
The given equation is
$\Rightarrow 2x^2-98=0$
Add $98$ to each side.
$\Rightarrow 2x^2-98+98=0+98$
Simplify.
$\Rightarrow 2x^2=98$
Divide each side by $2$.
$\Rightarrow \frac{2x^2}{2}=\frac{98}{2}$
Simplify.
$\Rightarrow x^2=49$
Take the square root of each side.
$\Rightarrow x=\pm\sqrt {49}$
Simplify.
$\Rightarrow x=\pm7$
Hence, the solutions are $x=7$ and $x=-7$.
