-1/x=x+2

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Solution for -1/x=x+2 equation: 



-1/x=x+2

We move all terms to the left:

-1/x-(x+2)=0



Domain of the equation: x!=0

x∈R



We get rid of parentheses

-1/x-x-2=0

We multiply all the terms by the denominator


-x*x-2*x-1=0

We add all the numbers together, and all the variables

-2x-x*x-1=0

Wy multiply elements

-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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