X-2X/X+1=5/X+1-1

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Solution for X-2X/X+1=5/X+1-1 equation: 


D( X )

X = 0

X = 0

X = 0

X in (-oo:0) U (0:+oo)

X-((2*X)/X)+1 = 5/X-1+1 // - 5/X-1+1

X-(5/X)-((2*X)/X)-1+1+1 = 0

X-5*X^-1-2-1+1+1 = 0

1*X^1-5*X^-1-1*X^0 = 0

(1*X^2-1*X^1-5*X^0)/(X^1) = 0 // * X^2

X^1*(1*X^2-1*X^1-5*X^0) = 0

X^1

X^2-X-5 = 0

X^2-X-5 = 0

DELTA = (-1)^2-(-5*1*4)

DELTA = 21

DELTA > 0

X = (21^(1/2)+1)/(1*2) or X = (1-21^(1/2))/(1*2)

X = (21^(1/2)+1)/2 or X = (1-21^(1/2))/2

X in { (1-21^(1/2))/2, (21^(1/2)+1)/2} 

X in { (1-21^(1/2))/2, (21^(1/2)+1)/2 }

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