6x+2=4/x+1

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Solution for 6x+2=4/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x+2 = 4/x+1 // - 4/x+1

6*x-(4/x)-1+2 = 0

6*x-4*x^-1-1+2 = 0

6*x^1-4*x^-1+1*x^0 = 0

(6*x^2+1*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2+1*x^1-4*x^0) = 0

x^1

6*x^2+x-4 = 0

6*x^2+x-4 = 0

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

DELTA = 97

DELTA > 0

x = (97^(1/2)-1)/(2*6) or x = (-97^(1/2)-1)/(2*6)

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

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

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

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