3x^2-56x-10780=0

Solution for 3x^2-56x-10780=0 equation:

3x^2-56x-10780=0

a = 3; b = -56; c = -10780;
Δ = b2-4ac
Δ = -562-4·3·(-10780)
Δ = 132496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{132496}=364$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-364}{2*3}=\frac{-308}{6}
=-51+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+364}{2*3}=\frac{420}{6}
=70
$