20=x^2/(55-x)

Solution for 20=x^2/(55-x) equation:

20=x^2/(55-x)

We move all terms to the left:

20-(x^2/(55-x))=0


Domain of the equation: (55-x))!=0

We move all terms containing x to the left, all other terms to the right

-x)!=-55

x!=-55/1

x!=-55

x∈R


We add all the numbers together, and all the variables

-(x^2/(-1x+55))+20=0

We multiply all the terms by the denominator


-(x^2+20*(-1x+55))=0


We calculate terms in parentheses: -(x^2+20*(-1x+55)), so:

x^2+20*(-1x+55)

We multiply parentheses

x^2-20x+1100

Back to the equation:

-(x^2-20x+1100)


We get rid of parentheses

-x^2+20x-1100=0

We add all the numbers together, and all the variables

-1x^2+20x-1100=0

a = -1; b = 20; c = -1100;
Δ = b2-4ac
Δ = 202-4·(-1)·(-1100)
Δ = -4000
Delta is less than zero, so there is no solution for the equation