6/x-3+x=8

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Solution for 6/x-3+x=8 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+6/x-3 = 8 // - 8

x+6/x-8-3 = 0

1*x^1+6*x^-1-11*x^0 = 0

(1*x^2-11*x^1+6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-11*x^1+6*x^0) = 0

x^1

x^2-11*x+6 = 0

x^2-11*x+6 = 0

DELTA = (-11)^2-(1*4*6)

DELTA = 97

DELTA > 0

x = (97^(1/2)+11)/(1*2) or x = (11-97^(1/2))/(1*2)

x = (97^(1/2)+11)/2 or x = (11-97^(1/2))/2

x in { (11-97^(1/2))/2, (97^(1/2)+11)/2} 

x in { (11-97^(1/2))/2, (97^(1/2)+11)/2 }

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