17-16/y=y+27

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Solution for 17-16/y=y+27 equation: 


D( y )

y = 0

y = 0

y = 0

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

17-(16/y) = y+27 // - y+27

17-y-(16/y)-27 = 0

17-y-16*y^-1-27 = 0

-1*y^1-16*y^-1-10*y^0 = 0

(-1*y^2-10*y^1-16*y^0)/(y^1) = 0 // * y^2

y^1*(-1*y^2-10*y^1-16*y^0) = 0

y^1

-y^2-10*y-16 = 0

-y^2-10*y-16 = 0

DELTA = (-10)^2-(-16*(-1)*4)

DELTA = 36

DELTA > 0

y = (36^(1/2)+10)/(-1*2) or y = (10-36^(1/2))/(-1*2)

y = -8 or y = -2

y in { -8, -2} 

y in { -8, -2 }

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