6y-54/y-6

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Solution for 6y-54/y-6 equation: 


D( y )

y = 0

y = 0

y = 0

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

6*y-(54/y)-6 = 0

6*y-54*y^-1-6 = 0

6*y^1-54*y^-1-6*y^0 = 0

(6*y^2-6*y^1-54*y^0)/(y^1) = 0 // * y^2

y^1*(6*y^2-6*y^1-54*y^0) = 0

y^1

6*y^2-6*y-54 = 0

6*y^2-6*y-54 = 0

DELTA = (-6)^2-(-54*4*6)

DELTA = 1332

DELTA > 0

y = (1332^(1/2)+6)/(2*6) or y = (6-1332^(1/2))/(2*6)

y = (6*37^(1/2)+6)/12 or y = (6-6*37^(1/2))/12

y in { (6-6*37^(1/2))/12, (6*37^(1/2)+6)/12} 

y in { (6-6*37^(1/2))/12, (6*37^(1/2)+6)/12 }

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