25x=15/x

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Solution for 25x=15/x equation: 


D( x )

x = 0

x = 0

x = 0

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

25*x = 15/x // - 15/x

25*x-(15/x) = 0

25*x-15*x^-1 = 0

25*x^1-15*x^-1 = 0

(25*x^2-15*x^0)/(x^1) = 0 // * x^2

x^1*(25*x^2-15*x^0) = 0

x^1

25*x^2-15 = 0

25*x^2-15 = 0

DELTA = 0^2-(-15*4*25)

DELTA = 1500

DELTA > 0

x = (1500^(1/2)+0)/(2*25) or x = (0-1500^(1/2))/(2*25)

x = (1*15^(1/2))/5 or x = (-15^(1/2))/5

x in { (-15^(1/2))/5, (1*15^(1/2))/5} 

x in { (-15^(1/2))/5, (1*15^(1/2))/5 }

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