x+5=14/x

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Solution for x+5=14/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x+5 = 14/x // - 14/x

x-(14/x)+5 = 0

x-14*x^-1+5 = 0

1*x^1-14*x^-1+5*x^0 = 0

(1*x^2+5*x^1-14*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+5*x^1-14*x^0) = 0

x^1

x^2+5*x-14 = 0

x^2+5*x-14 = 0

DELTA = 5^2-(-14*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-5)/(1*2) or x = (-81^(1/2)-5)/(1*2)

x = 2 or x = -7

x in { -7, 2} 

x in { -7, 2 }

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