X^2-2x-1739=0

Solution for X^2-2x-1739=0 equation:

X^2-2X-1739=0

a = 1; b = -2; c = -1739;
Δ = b2-4ac
Δ = -22-4·1·(-1739)
Δ = 6960
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:

$\sqrt{\Delta}=\sqrt{6960}=\sqrt{16*435}=\sqrt{16}*\sqrt{435}=4\sqrt{435}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-4\sqrt{435}}{2*1}=\frac{2-4\sqrt{435}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+4\sqrt{435}}{2*1}=\frac{2+4\sqrt{435}}{2}
$