x+x-6/x+7x+12

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Solution for x+x-6/x+7x+12 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+x+7*x-(6/x)+12 = 0

x+x+7*x-6*x^-1+12 = 0

9*x^1-6*x^-1+12*x^0 = 0

(9*x^2+12*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(9*x^2+12*x^1-6*x^0) = 0

x^1

9*x^2+12*x-6 = 0

9*x^2+12*x-6 = 0

DELTA = 12^2-(-6*4*9)

DELTA = 360

DELTA > 0

x = (360^(1/2)-12)/(2*9) or x = (-360^(1/2)-12)/(2*9)

x = (6*10^(1/2)-12)/18 or x = (-6*10^(1/2)-12)/18

x in { (-6*10^(1/2)-12)/18, (6*10^(1/2)-12)/18} 

x in { (-6*10^(1/2)-12)/18, (6*10^(1/2)-12)/18 }

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