x=(3/x)+(1/2)

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Solution for x=(3/x)+(1/2) equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 3/x+1/2 // - 3/x+1/2

x-(3/x)-(1/2) = 0

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

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

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

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

x^1

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

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

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

DELTA = 49/4

DELTA > 0

x = ((49/4)^(1/2)-(-1/2))/(1*2) or x = (-(-1/2)-(49/4)^(1/2))/(1*2)

x = 2 or x = -3/2

x in { -3/2, 2} 

x in { -3/2, 2 }

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