6x^2-190x-5500=0

Solution for 6x^2-190x-5500=0 equation:

6x^2-190x-5500=0

a = 6; b = -190; c = -5500;
Δ = b2-4ac
Δ = -1902-4·6·(-5500)
Δ = 168100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{168100}=410$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-190)-410}{2*6}=\frac{-220}{12}
=-18+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-190)+410}{2*6}=\frac{600}{12}
=50
$