30-x-(100/x)-(1/2)=0

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Solution for 30-x-(100/x)-(1/2)=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

30-x-(100/x)-(1/2) = 0

30-x-100*x^-1-1/2 = 0

59/2*x^0-1*x^1-100*x^-1 = 0

(59/2*x^1-1*x^2-100*x^0)/(x^1) = 0 // * x^2

x^1*(59/2*x^1-1*x^2-100*x^0) = 0

x^1

(59/2)*x-x^2-100 = 0

(59/2)*x-x^2-100 = 0

DELTA = (59/2)^2-(-100*(-1)*4)

DELTA = 1881/4

DELTA > 0

x = ((1881/4)^(1/2)-(59/2))/(-1*2) or x = (-(59/2)-(1881/4)^(1/2))/(-1*2)

x = ((1881/4)^(1/2)-59/2)/(-2) or x = ((1881/4)^(1/2)+59/2)/2

x in { ((1881/4)^(1/2)-59/2)/(-2), ((1881/4)^(1/2)+59/2)/2} 

x in { ((1881/4)^(1/2)-59/2)/(-2), ((1881/4)^(1/2)+59/2)/2 }

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