3/2x+5/6=13/x

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Solution for 3/2x+5/6=13/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(3/2)*x+5/6 = 13/x // - 13/x

(3/2)*x-(13/x)+5/6 = 0

(3/2)*x-13*x^-1+5/6 = 0

3/2*x^1-13*x^-1+5/6*x^0 = 0

(3/2*x^2+5/6*x^1-13*x^0)/(x^1) = 0 // * x^2

x^1*(3/2*x^2+5/6*x^1-13*x^0) = 0

x^1

(3/2)*x^2+(5/6)*x-13 = 0

(3/2)*x^2+(5/6)*x-13 = 0

DELTA = (5/6)^2-(-13*4*(3/2))

DELTA = 2833/36

DELTA > 0

x = ((2833/36)^(1/2)-(5/6))/(2*(3/2)) or x = (-(5/6)-(2833/36)^(1/2))/(2*(3/2))

x = ((2833/36)^(1/2)-5/6)/3 or x = (-((2833/36)^(1/2)+5/6))/3

x in { (-((2833/36)^(1/2)+5/6))/3, ((2833/36)^(1/2)-5/6)/3} 

x in { (-((2833/36)^(1/2)+5/6))/3, ((2833/36)^(1/2)-5/6)/3 }

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