4/x-1/3=x/6

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Solution for 4/x-1/3=x/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-(1/3) = x/6 // - x/6

4/x-(x/6)-(1/3) = 0

4/x-(x/6)-1/3 = 0

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

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

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

x^1

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

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

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

DELTA = 25/9

DELTA > 0

x = ((25/9)^(1/2)-(-1/3))/(2*(-1/6)) or x = (-(-1/3)-(25/9)^(1/2))/(2*(-1/6))

x = -6 or x = 4

x in { -6, 4} 

x in { -6, 4 }

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