100/x=20-x

Solution for 100/x=20-x equation:

100/x=20-x

We move all terms to the left:

100/x-(20-x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

100/x-(-1x+20)=0

We get rid of parentheses

100/x+1x-20=0

We multiply all the terms by the denominator


1x*x-20*x+100=0

We add all the numbers together, and all the variables

-20x+1x*x+100=0

Wy multiply elements

x^2-20x+100=0

a = 1; b = -20; c = +100;
Δ = b2-4ac
Δ = -202-4·1·100
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{20}{2}=10$