X^2-4x-3129=0

Solution for X^2-4x-3129=0 equation:

X^2-4X-3129=0

a = 1; b = -4; c = -3129;
Δ = b2-4ac
Δ = -42-4·1·(-3129)
Δ = 12532
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:

$\sqrt{\Delta}=\sqrt{12532}=\sqrt{4*3133}=\sqrt{4}*\sqrt{3133}=2\sqrt{3133}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-2\sqrt{3133}}{2*1}=\frac{4-2\sqrt{3133}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+2\sqrt{3133}}{2*1}=\frac{4+2\sqrt{3133}}{2}
$