14x-45=14/x

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Solution for 14x-45=14/x equation: 


D( x )

x = 0

x = 0

x = 0

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

14*x-45 = 14/x // - 14/x

14*x-(14/x)-45 = 0

14*x-14*x^-1-45 = 0

14*x^1-14*x^-1-45*x^0 = 0

(14*x^2-45*x^1-14*x^0)/(x^1) = 0 // * x^2

x^1*(14*x^2-45*x^1-14*x^0) = 0

x^1

14*x^2-45*x-14 = 0

14*x^2-45*x-14 = 0

DELTA = (-45)^2-(-14*4*14)

DELTA = 2809

DELTA > 0

x = (2809^(1/2)+45)/(2*14) or x = (45-2809^(1/2))/(2*14)

x = 7/2 or x = -2/7

x in { -2/7, 7/2} 

x in { -2/7, 7/2 }

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