2/x+2=4/3x+13/6

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Solution for 2/x+2=4/3x+13/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x+2 = (4/3)*x+13/6 // - (4/3)*x+13/6

2/x-((4/3)*x)-(13/6)+2 = 0

(-4/3)*x+2/x-13/6+2 = 0

2*x^-1-4/3*x^1-1/6*x^0 = 0

(2*x^0-4/3*x^2-1/6*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-4/3*x^2-1/6*x^1) = 0

x^1

(-4/3)*x^2+(-1/6)*x+2 = 0

(-4/3)*x^2+(-1/6)*x+2 = 0

DELTA = (-1/6)^2-(2*4*(-4/3))

DELTA = 385/36

DELTA > 0

x = ((385/36)^(1/2)-(-1/6))/(2*(-4/3)) or x = (-(-1/6)-(385/36)^(1/2))/(2*(-4/3))

x = -3/8*((385/36)^(1/2)+1/6) or x = -3/8*(1/6-(385/36)^(1/2))

x in { -3/8*((385/36)^(1/2)+1/6), -3/8*(1/6-(385/36)^(1/2))} 

x in { -3/8*((385/36)^(1/2)+1/6), -3/8*(1/6-(385/36)^(1/2)) }

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