7x-1/x-1

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Solution for 7x-1/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

7*x^2-x-1 = 0

7*x^2-x-1 = 0

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

DELTA = 29

DELTA > 0

x = (29^(1/2)+1)/(2*7) or x = (1-29^(1/2))/(2*7)

x = (29^(1/2)+1)/14 or x = (1-29^(1/2))/14

x in { (1-29^(1/2))/14, (29^(1/2)+1)/14} 

x in { (1-29^(1/2))/14, (29^(1/2)+1)/14 }

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