2x^2=2738

Solution for 2x^2=2738 equation:

2x^2=2738

We move all terms to the left:

2x^2-(2738)=0

a = 2; b = 0; c = -2738;
Δ = b2-4ac
Δ = 02-4·2·(-2738)
Δ = 21904
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21904}=148$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-148}{2*2}=\frac{-148}{4}
=-37
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+148}{2*2}=\frac{148}{4}
=37
$