7x-39/x-3

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Solution for 7x-39/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

7*x-(39/x)-3 = 0

7*x-39*x^-1-3 = 0

7*x^1-39*x^-1-3*x^0 = 0

(7*x^2-3*x^1-39*x^0)/(x^1) = 0 // * x^2

x^1*(7*x^2-3*x^1-39*x^0) = 0

x^1

7*x^2-3*x-39 = 0

7*x^2-3*x-39 = 0

DELTA = (-3)^2-(-39*4*7)

DELTA = 1101

DELTA > 0

x = (1101^(1/2)+3)/(2*7) or x = (3-1101^(1/2))/(2*7)

x = (1101^(1/2)+3)/14 or x = (3-1101^(1/2))/14

x in { (3-1101^(1/2))/14, (1101^(1/2)+3)/14} 

x in { (3-1101^(1/2))/14, (1101^(1/2)+3)/14 }

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