2x2=338

Solution for 2x2=338 equation:

2x^2=338

We move all terms to the left:

2x^2-(338)=0

a = 2; b = 0; c = -338;
Δ = b2-4ac
Δ = 02-4·2·(-338)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-52}{2*2}=\frac{-52}{4}
=-13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+52}{2*2}=\frac{52}{4}
=13
$