0=x2-2x-100,000

Solution for 0=x2-2x-100,000 equation:

0=x2-2x-100.000

We move all terms to the left:

0-(x2-2x-100.000)=0

We add all the numbers together, and all the variables

-(+x^2-2x-100.000)+0=0

We add all the numbers together, and all the variables

-(+x^2-2x-100.000)=0

We get rid of parentheses

-x^2+2x+100.000=0

We add all the numbers together, and all the variables

-1x^2+2x+100=0

a = -1; b = 2; c = +100;
Δ = b2-4ac
Δ = 22-4·(-1)·100
Δ = 404
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:

$\sqrt{\Delta}=\sqrt{404}=\sqrt{4*101}=\sqrt{4}*\sqrt{101}=2\sqrt{101}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{101}}{2*-1}=\frac{-2-2\sqrt{101}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{101}}{2*-1}=\frac{-2+2\sqrt{101}}{-2}
$