25/x=x

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Solution for 25/x=x equation: 


D( x )

x = 0

x = 0

x = 0

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

25/x = x // - x

25/x-x = 0

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

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

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

x^1

25-x^2 = 0

25-x^2 = 0

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

DELTA = 100

DELTA > 0

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

x = -5 or x = 5

x in { -5, 5} 

x in { -5, 5 }

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