11000=x^2-3x+1

Solution for 11000=x^2-3x+1 equation:

11000=x^2-3x+1

We move all terms to the left:

11000-(x^2-3x+1)=0

We get rid of parentheses

-x^2+3x-1+11000=0

We add all the numbers together, and all the variables

-1x^2+3x+10999=0

a = -1; b = 3; c = +10999;
Δ = b2-4ac
Δ = 32-4·(-1)·10999
Δ = 44005
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{44005}}{2*-1}=\frac{-3-\sqrt{44005}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{44005}}{2*-1}=\frac{-3+\sqrt{44005}}{-2}
$