1/2+x/6=18/x

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Solution for 1/2+x/6=18/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x/6+1/2 = 18/x // - 18/x

x/6-(18/x)+1/2 = 0

x/6-18*x^-1+1/2 = 0

1/6*x^1-18*x^-1+1/2*x^0 = 0

(1/6*x^2+1/2*x^1-18*x^0)/(x^1) = 0 // * x^2

x^1*(1/6*x^2+1/2*x^1-18*x^0) = 0

x^1

(1/6)*x^2+(1/2)*x-18 = 0

(1/6)*x^2+(1/2)*x-18 = 0

DELTA = (1/2)^2-(-18*4*(1/6))

DELTA = 49/4

DELTA > 0

x = ((49/4)^(1/2)-(1/2))/(2*(1/6)) or x = (-(1/2)-(49/4)^(1/2))/(2*(1/6))

x = 9 or x = -12

x in { -12, 9} 

x in { -12, 9 }

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