x^2-5500x-360000=0

Solution for x^2-5500x-360000=0 equation:

x^2-5500x-360000=0

a = 1; b = -5500; c = -360000;
Δ = b2-4ac
Δ = -55002-4·1·(-360000)
Δ = 31690000
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:

$\sqrt{\Delta}=\sqrt{31690000}=\sqrt{10000*3169}=\sqrt{10000}*\sqrt{3169}=100\sqrt{3169}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5500)-100\sqrt{3169}}{2*1}=\frac{5500-100\sqrt{3169}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5500)+100\sqrt{3169}}{2*1}=\frac{5500+100\sqrt{3169}}{2}
$