x^2-190x-9500=0

Solution for x^2-190x-9500=0 equation:

x^2-190x-9500=0

a = 1; b = -190; c = -9500;
Δ = b2-4ac
Δ = -1902-4·1·(-9500)
Δ = 74100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{74100}=\sqrt{100*741}=\sqrt{100}*\sqrt{741}=10\sqrt{741}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-190)-10\sqrt{741}}{2*1}=\frac{190-10\sqrt{741}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-190)+10\sqrt{741}}{2*1}=\frac{190+10\sqrt{741}}{2}
$