55000=5x^2+1000x+5000.

Solution for 55000=5x^2+1000x+5000. equation:

55000=5x^2+1000x+5000.

We move all terms to the left:

55000-(5x^2+1000x+5000.)=0

We get rid of parentheses

-5x^2-1000x-5000.+55000=0

We add all the numbers together, and all the variables

-5x^2-1000x+50000=0

a = -5; b = -1000; c = +50000;
Δ = b2-4ac
Δ = -10002-4·(-5)·50000
Δ = 2000000
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:

$\sqrt{\Delta}=\sqrt{2000000}=\sqrt{1000000*2}=\sqrt{1000000}*\sqrt{2}=1000\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1000)-1000\sqrt{2}}{2*-5}=\frac{1000-1000\sqrt{2}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1000)+1000\sqrt{2}}{2*-5}=\frac{1000+1000\sqrt{2}}{-10}
$