14/x=7/2x-5

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Solution for 14/x=7/2x-5 equation:


D( x )

x = 0

x = 0

x = 0

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

14/x = (7/2)*x-5 // - (7/2)*x-5

14/x-((7/2)*x)+5 = 0

(-7/2)*x+14/x+5 = 0

14*x^-1-7/2*x^1+5*x^0 = 0

(5*x^1-7/2*x^2+14*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^1-7/2*x^2+14*x^0) = 0

x^1

(-7/2)*x^2+5*x+14 = 0

(-7/2)*x^2+5*x+14 = 0

DELTA = 5^2-(4*14*(-7/2))

DELTA = 221

DELTA > 0

x = (221^(1/2)-5)/(2*(-7/2)) or x = (-221^(1/2)-5)/(2*(-7/2))

x = (221^(1/2)-5)/(-7) or x = (221^(1/2)+5)/7

x in { (221^(1/2)-5)/(-7), (221^(1/2)+5)/7}

x in { (221^(1/2)-5)/(-7), (221^(1/2)+5)/7 }

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