25x=1/x

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Solution for 25x=1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

25*x = 1/x // - 1/x

25*x-(1/x) = 0

25*x-x^-1 = 0

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

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

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

x^1

25*x^2-1 = 0

25*x^2-1 = 0

DELTA = 0^2-(-1*4*25)

DELTA = 100

DELTA > 0

x = (100^(1/2)+0)/(2*25) or x = (0-100^(1/2))/(2*25)

x = 1/5 or x = -1/5

x in { -1/5, 1/5} 

x in { -1/5, 1/5 }

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