200=x2/1000

Solution for 200=x2/1000 equation:

200=x2/1000

We move all terms to the left:

200-(x2/1000)=0

We add all the numbers together, and all the variables

-(+x2/1000)+200=0

We get rid of parentheses

-x2/1000+200=0

We multiply all the terms by the denominator


-x2+200*1000=0

We add all the numbers together, and all the variables

-1x^2+200000=0

a = -1; b = 0; c = +200000;
Δ = b2-4ac
Δ = 02-4·(-1)·200000
Δ = 800000
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:

$\sqrt{\Delta}=\sqrt{800000}=\sqrt{160000*5}=\sqrt{160000}*\sqrt{5}=400\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400\sqrt{5}}{2*-1}=\frac{0-400\sqrt{5}}{-2}
=-\frac{400\sqrt{5}}{-2}
=-\frac{200\sqrt{5}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400\sqrt{5}}{2*-1}=\frac{0+400\sqrt{5}}{-2}
=\frac{400\sqrt{5}}{-2}
=\frac{200\sqrt{5}}{-1}
$