X^2-2x-1600=0

Solution for X^2-2x-1600=0 equation:

X^2-2X-1600=0

a = 1; b = -2; c = -1600;
Δ = b2-4ac
Δ = -22-4·1·(-1600)
Δ = 6404
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:

$\sqrt{\Delta}=\sqrt{6404}=\sqrt{4*1601}=\sqrt{4}*\sqrt{1601}=2\sqrt{1601}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{1601}}{2*1}=\frac{2-2\sqrt{1601}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{1601}}{2*1}=\frac{2+2\sqrt{1601}}{2}
$