5x-4=5-4/x

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Solution for 5x-4=5-4/x equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-4 = 5-(4/x) // - 5-(4/x)

5*x+4/x-5-4 = 0

5*x^1+4*x^-1-9*x^0 = 0

(5*x^2-9*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-9*x^1+4*x^0) = 0

x^1

5*x^2-9*x+4 = 0

5*x^2-9*x+4 = 0

DELTA = (-9)^2-(4*4*5)

DELTA = 1

DELTA > 0

x = (1^(1/2)+9)/(2*5) or x = (9-1^(1/2))/(2*5)

x = 1 or x = 4/5

x in { 4/5, 1} 

x in { 4/5, 1 }

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