2x^2-568x-34,944=0

Solution for 2x^2-568x-34,944=0 equation:

2x^2-568x-34.944=0

a = 2; b = -568; c = -34.944;
Δ = b2-4ac
Δ = -5682-4·2·(-34.944)
Δ = 322903.552
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-568)-\sqrt{322903.552}}{2*2}=\frac{568-\sqrt{322903.552}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-568)+\sqrt{322903.552}}{2*2}=\frac{568+\sqrt{322903.552}}{4}
$