169/x=26-x

Solution for 169/x=26-x equation:

169/x=26-x

We move all terms to the left:

169/x-(26-x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

169/x-(-1x+26)=0

We get rid of parentheses

169/x+1x-26=0

We multiply all the terms by the denominator


1x*x-26*x+169=0

We add all the numbers together, and all the variables

-26x+1x*x+169=0

Wy multiply elements

x^2-26x+169=0

a = 1; b = -26; c = +169;
Δ = b2-4ac
Δ = -262-4·1·169
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{26}{2}=13$