16/y=y/4

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Solution for 16/y=y/4 equation: 


D( y )

y = 0

y = 0

y = 0

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

16/y = y/4 // - y/4

16/y-(y/4) = 0

16*y^-1-1/4*y^1 = 0

(16*y^0-1/4*y^2)/(y^1) = 0 // * y^2

y^1*(16*y^0-1/4*y^2) = 0

y^1

(-1/4)*y^2+16 = 0

(-1/4)*y^2+16 = 0

DELTA = 0^2-(4*16*(-1/4))

DELTA = 16

DELTA > 0

y = (16^(1/2)+0)/(2*(-1/4)) or y = (0-16^(1/2))/(2*(-1/4))

y = -8 or y = 8

y in { -8, 8} 

y in { -8, 8 }

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