x+7/x=6x+14/7

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Solution for x+7/x=6x+14/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+7/x = 6*x+14/7 // - 6*x+14/7

x-(6*x)+7/x-(14/7) = 0

x-6*x+7/x-2 = 0

7*x^-1-5*x^1-2*x^0 = 0

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

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

x^1

7-5*x^2-2*x = 0

7-5*x^2-2*x = 0

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

DELTA = 144

DELTA > 0

x = (144^(1/2)+2)/(-5*2) or x = (2-144^(1/2))/(-5*2)

x = -7/5 or x = 1

x in { -7/5, 1} 

x in { -7/5, 1 }

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