6y-1/y=5

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Solution for 6y-1/y=5 equation: 


D( y )

y = 0

y = 0

y = 0

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

6*y-(1/y) = 5 // - 5

6*y-(1/y)-5 = 0

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

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

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

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

y^1

6*y^2-5*y-1 = 0

6*y^2-5*y-1 = 0

DELTA = (-5)^2-(-1*4*6)

DELTA = 49

DELTA > 0

y = (49^(1/2)+5)/(2*6) or y = (5-49^(1/2))/(2*6)

y = 1 or y = -1/6

y in { -1/6, 1} 

y in { -1/6, 1 }

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