6+5/y=y-2/y

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Solution for 6+5/y=y-2/y equation: 


D( y )

y = 0

y = 0

y = 0

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

5/y+6 = y-(2/y) // - y-(2/y)

5/y-y+2/y+6 = 0

7*y^-1-1*y^1+6*y^0 = 0

(6*y^1-1*y^2+7*y^0)/(y^1) = 0 // * y^2

y^1*(6*y^1-1*y^2+7*y^0) = 0

y^1

6*y-y^2+7 = 0

6*y-y^2+7 = 0

DELTA = 6^2-(-1*4*7)

DELTA = 64

DELTA > 0

y = (64^(1/2)-6)/(-1*2) or y = (-64^(1/2)-6)/(-1*2)

y = -1 or y = 7

y in { -1, 7} 

y in { -1, 7 }

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