(1/x-1)=1-(5/2x-4)

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Solution for (1/x-1)=1-(5/2x-4) equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x-1 = 1-((5/2)*x)+4 // - 1-((5/2)*x)+4

(5/2)*x+1/x-4-1-1 = 0

5/2*x^1+1*x^-1-6*x^0 = 0

(5/2*x^2-6*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(5/2*x^2-6*x^1+1*x^0) = 0

x^1

(5/2)*x^2-6*x+1 = 0

(5/2)*x^2-6*x+1 = 0

DELTA = (-6)^2-(1*4*(5/2))

DELTA = 26

DELTA > 0

x = (26^(1/2)+6)/(2*(5/2)) or x = (6-26^(1/2))/(2*(5/2))

x = (26^(1/2)+6)/5 or x = (6-26^(1/2))/5

x in { (6-26^(1/2))/5, (26^(1/2)+6)/5} 

x in { (6-26^(1/2))/5, (26^(1/2)+6)/5 }

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