x-5/x+5

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Solution for x-5/x+5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(5/x)+5 = 0

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

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

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

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

x^1

x^2+5*x-5 = 0

x^2+5*x-5 = 0

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

DELTA = 45

DELTA > 0

x = (45^(1/2)-5)/(1*2) or x = (-45^(1/2)-5)/(1*2)

x = (3*5^(1/2)-5)/2 or x = (-3*5^(1/2)-5)/2

x in { (-3*5^(1/2)-5)/2, (3*5^(1/2)-5)/2} 

x in { (-3*5^(1/2)-5)/2, (3*5^(1/2)-5)/2 }

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