y=57/y-16

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Solution for y=57/y-16 equation: 


D( y )

y = 0

y = 0

y = 0

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

y = 57/y-16 // - 57/y-16

y-(57/y)+16 = 0

y-57*y^-1+16 = 0

1*y^1-57*y^-1+16*y^0 = 0

(1*y^2+16*y^1-57*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2+16*y^1-57*y^0) = 0

y^1

y^2+16*y-57 = 0

y^2+16*y-57 = 0

DELTA = 16^2-(-57*1*4)

DELTA = 484

DELTA > 0

y = (484^(1/2)-16)/(1*2) or y = (-484^(1/2)-16)/(1*2)

y = 3 or y = -19

y in { -19, 3} 

y in { -19, 3 }

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