(5/5-x)-(1/x-6)=0

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Solution for (5/5-x)-(1/x-6)=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

5/5-x-(1/x)+6 = 0

5/5-x-x^-1+6 = 0

7*x^0-1*x^1-1*x^-1 = 0

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

x^1*(7*x^1-1*x^2-1*x^0) = 0

x^1

7*x-x^2-1 = 0

7*x-x^2-1 = 0

DELTA = 7^2-(-1*(-1)*4)

DELTA = 45

DELTA > 0

x = (45^(1/2)-7)/(-1*2) or x = (-45^(1/2)-7)/(-1*2)

x = (3*5^(1/2)-7)/(-2) or x = (-3*5^(1/2)-7)/(-2)

x in { (3*5^(1/2)-7)/(-2), (-3*5^(1/2)-7)/(-2)} 

x in { (3*5^(1/2)-7)/(-2), (-3*5^(1/2)-7)/(-2) }

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