75/x-150/(3/2)*x

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Solution for 75/x-150/(3/2)*x equation: 


D( x )

x = 0

x = 0

x = 0

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

75/x-((150/(3/2))*x) = 0

75/x-100*x = 0

75*x^-1-100*x^1 = 0

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

x^1*(75*x^0-100*x^2) = 0

x^1

75-100*x^2 = 0

75-100*x^2 = 0

DELTA = 0^2-(-100*4*75)

DELTA = 30000

DELTA > 0

x = (30000^(1/2)+0)/(-100*2) or x = (0-30000^(1/2))/(-100*2)

x = (-3^(1/2))/2 or x = (3^(1/2))/2

x in { (-3^(1/2))/2, (3^(1/2))/2} 

x in { (-3^(1/2))/2, (3^(1/2))/2 }

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