2x-5/x+1

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Solution for 2x-5/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

(2*x^2+1*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2+1*x^1-5*x^0) = 0

x^1

2*x^2+x-5 = 0

2*x^2+x-5 = 0

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

DELTA = 41

DELTA > 0

x = (41^(1/2)-1)/(2*2) or x = (-41^(1/2)-1)/(2*2)

x = (41^(1/2)-1)/4 or x = (-(41^(1/2)+1))/4

x in { (-(41^(1/2)+1))/4, (41^(1/2)-1)/4} 

x in { (-(41^(1/2)+1))/4, (41^(1/2)-1)/4 }

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