52-4x=169/x

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Solution for 52-4x=169/x equation: 



52-4x=169/x

We move all terms to the left:

52-4x-(169/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

-4x-(+169/x)+52=0

We get rid of parentheses

-4x-169/x+52=0

We multiply all the terms by the denominator


-4x*x+52*x-169=0

We add all the numbers together, and all the variables

52x-4x*x-169=0

Wy multiply elements

-4x^2+52x-169=0

a = -4; b = 52; c = -169;
Δ = b2-4ac
Δ = 522-4·(-4)·(-169)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-52}{-8}=6+1/2$

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