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

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Solution for (y)-(6)/(y)=(5) equation: 


D( y )

y = 0

y = 0

y = 0

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

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

y-(6/y)-5 = 0

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

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

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

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

y^1

y^2-5*y-6 = 0

y^2-5*y-6 = 0

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

DELTA = 49

DELTA > 0

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

y = 6 or y = -1

y in { -1, 6} 

y in { -1, 6 }

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