2*x^2-2178=0

Solution for 2*x^2-2178=0 equation:

2x^2-2178=0

a = 2; b = 0; c = -2178;
Δ = b2-4ac
Δ = 02-4·2·(-2178)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132}{2*2}=\frac{-132}{4}
=-33
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*2}=\frac{132}{4}
=33
$