(7x-39/x-3)-(x-3/x-6)

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Solution for (7x-39/x-3)-(x-3/x-6) equation: 


D( x )

x = 0

x = 0

x = 0

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

7*x-x-(39/x)+3/x-3+6 = 0

7*x-x-39*x^-1+3/x-3+6 = 0

6*x^1-36*x^-1+3*x^0 = 0

(6*x^2+3*x^1-36*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2+3*x^1-36*x^0) = 0

x^1

6*x^2+3*x-36 = 0

6*x^2+3*x-36 = 0

DELTA = 3^2-(-36*4*6)

DELTA = 873

DELTA > 0

x = (873^(1/2)-3)/(2*6) or x = (-873^(1/2)-3)/(2*6)

x = (3*97^(1/2)-3)/12 or x = (-3*97^(1/2)-3)/12

x in { (-3*97^(1/2)-3)/12, (3*97^(1/2)-3)/12} 

x in { (-3*97^(1/2)-3)/12, (3*97^(1/2)-3)/12 }

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