# (1/x)=(x/6)-(5/60)

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## Solution for (1/x)=(x/6)-(5/60) equation:

D( x )x = 0x = 0x = 0x in (-oo:0) U (0:+oo)1/x = x/6-(5/60) / - x/6-(5/60)1/x-(x/6)+5/60 = 01*x^-1-1/6*x^1+1/12*x^0 = 0(1/12*x^1-1/6*x^2+1*x^0)/(x^1) = 0 / * x^2x^1*(1/12*x^1-1/6*x^2+1*x^0) = 0x^1(-1/6)*x^2+(1/12)*x+1 = 0(-1/6)*x^2+(1/12)*x+1 = 0DELTA = (1/12)^2-(1*4*(-1/6))DELTA = 97/144DELTA > 0x = ((97/144)^(1/2)-(1/12))/(2*(-1/6)) or x = (-(1/12)-(97/144)^(1/2))/(2*(-1/6))x = -3*((97/144)^(1/2)-1/12) or x = 3*((97/144)^(1/2)+1/12)x in { -3*((97/144)^(1/2)-1/12), 3*((97/144)^(1/2)+1/12)} x in { -3*((97/144)^(1/2)-1/12), 3*((97/144)^(1/2)+1/12) }`

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