(3x-1)/x=x+1

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Solution for (3x-1)/x=x+1 equation: 



(3x-1)/x=x+1

We move all terms to the left:

(3x-1)/x-(x+1)=0



Domain of the equation: x!=0

x∈R



We get rid of parentheses

(3x-1)/x-x-1=0

We multiply all the terms by the denominator


(3x-1)-x*x-1*x=0

We add all the numbers together, and all the variables

-1x+(3x-1)-x*x=0

Wy multiply elements

-1x^2-1x+(3x-1)=0

We get rid of parentheses

-1x^2-1x+3x-1=0

We add all the numbers together, and all the variables

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

a = -1; b = 2; c = -1;
Δ = b2-4ac
Δ = 22-4·(-1)·(-1)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-2}{-2}=1$

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