y=2x-5/x-1

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Solution for y=2x-5/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

y = 2*x-(5/x)-1 // - 2*x-(5/x)-1

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

5/x-2*x+y+1 = 0

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

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

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

x^1

x-2*x^2+5 = 0

x-2*x^2+5 = 0

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

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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