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

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Solution for 2/x=(4/5*x)+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

2*x^-1-4/5*x^1-2*x^0 = 0

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

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

x^1

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

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

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

DELTA = 52/5

DELTA > 0

x = ((52/5)^(1/2)+2)/(2*(-4/5)) or x = (2-(52/5)^(1/2))/(2*(-4/5))

x = -5/8*((52/5)^(1/2)+2) or x = -5/8*(2-(52/5)^(1/2))

x in { -5/8*((52/5)^(1/2)+2), -5/8*(2-(52/5)^(1/2))} 

x in { -5/8*((52/5)^(1/2)+2), -5/8*(2-(52/5)^(1/2)) }

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