x^2-2000x-21879=0

Solution for x^2-2000x-21879=0 equation:

x^2-2000x-21879=0

a = 1; b = -2000; c = -21879;
Δ = b2-4ac
Δ = -20002-4·1·(-21879)
Δ = 4087516
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:

$\sqrt{\Delta}=\sqrt{4087516}=\sqrt{4*1021879}=\sqrt{4}*\sqrt{1021879}=2\sqrt{1021879}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2000)-2\sqrt{1021879}}{2*1}=\frac{2000-2\sqrt{1021879}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2000)+2\sqrt{1021879}}{2*1}=\frac{2000+2\sqrt{1021879}}{2}
$