x2-2014x+2014=0

Solution for x2-2014x+2014=0 equation:

x2-2014x+2014=0

We add all the numbers together, and all the variables

x^2-2014x+2014=0

a = 1; b = -2014; c = +2014;
Δ = b2-4ac
Δ = -20142-4·1·2014
Δ = 4048140
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:

$\sqrt{\Delta}=\sqrt{4048140}=\sqrt{4*1012035}=\sqrt{4}*\sqrt{1012035}=2\sqrt{1012035}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2014)-2\sqrt{1012035}}{2*1}=\frac{2014-2\sqrt{1012035}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2014)+2\sqrt{1012035}}{2*1}=\frac{2014+2\sqrt{1012035}}{2}
$