x^2-3600x-1000000=0

Solution for x^2-3600x-1000000=0 equation:

x^2-3600x-1000000=0

a = 1; b = -3600; c = -1000000;
Δ = b2-4ac
Δ = -36002-4·1·(-1000000)
Δ = 16960000
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:

$\sqrt{\Delta}=\sqrt{16960000}=\sqrt{160000*106}=\sqrt{160000}*\sqrt{106}=400\sqrt{106}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3600)-400\sqrt{106}}{2*1}=\frac{3600-400\sqrt{106}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3600)+400\sqrt{106}}{2*1}=\frac{3600+400\sqrt{106}}{2}
$