x/5-5/x=0

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Solution for x/5-5/x=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/5-(5/x) = 0

x/5-5*x^-1 = 0

1/5*x^1-5*x^-1 = 0

(1/5*x^2-5*x^0)/(x^1) = 0 // * x^2

x^1*(1/5*x^2-5*x^0) = 0

x^1

(1/5)*x^2-5 = 0

(1/5)*x^2-5 = 0

DELTA = 0^2-(-5*4*(1/5))

DELTA = 4

DELTA > 0

x = (4^(1/2)+0)/(2*(1/5)) or x = (0-4^(1/2))/(2*(1/5))

x = 5 or x = -5

x in { -5, 5} 

x in { -5, 5 }

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