x-(5/x)

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Solution for x-(5/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(5/x) = 0

x-5*x^-1 = 0

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

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

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

x^1

x^2-5 = 0

x^2-5 = 0

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

DELTA = 20

DELTA > 0

x = (20^(1/2)+0)/(1*2) or x = (0-20^(1/2))/(1*2)

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

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

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

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