200=20x+500/X

Solution for 200=20x+500/X equation:

200=20x+500/x

We move all terms to the left:

200-(20x+500/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+20x+500/x)+200=0

We get rid of parentheses

-20x-500/x+200=0

We multiply all the terms by the denominator


-20x*x+200*x-500=0

We add all the numbers together, and all the variables

200x-20x*x-500=0

Wy multiply elements

-20x^2+200x-500=0

a = -20; b = 200; c = -500;
Δ = b2-4ac
Δ = 2002-4·(-20)·(-500)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-200}{-40}=+5$