3y-6/y-2=3

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Solution for 3y-6/y-2=3 equation: 


D( y )

y = 0

y = 0

y = 0

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

3*y-(6/y)-2 = 3 // - 3

3*y-(6/y)-3-2 = 0

3*y-6*y^-1-3-2 = 0

3*y^1-6*y^-1-5*y^0 = 0

(3*y^2-5*y^1-6*y^0)/(y^1) = 0 // * y^2

y^1*(3*y^2-5*y^1-6*y^0) = 0

y^1

3*y^2-5*y-6 = 0

3*y^2-5*y-6 = 0

DELTA = (-5)^2-(-6*3*4)

DELTA = 97

DELTA > 0

y = (97^(1/2)+5)/(2*3) or y = (5-97^(1/2))/(2*3)

y = (97^(1/2)+5)/6 or y = (5-97^(1/2))/6

y in { (5-97^(1/2))/6, (97^(1/2)+5)/6} 

y in { (5-97^(1/2))/6, (97^(1/2)+5)/6 }

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