4/y=y/8

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Solution for 4/y=y/8 equation:


D( y )

y = 0

y = 0

y = 0

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

4/y = y/8 // - y/8

4/y-(y/8) = 0

4*y^-1-1/8*y^1 = 0

(4*y^0-1/8*y^2)/(y^1) = 0 // * y^2

y^1*(4*y^0-1/8*y^2) = 0

y^1

(-1/8)*y^2+4 = 0

(-1/8)*y^2+4 = 0

DELTA = 0^2-(4*4*(-1/8))

DELTA = 2

DELTA > 0

y = (2^(1/2)+0)/(2*(-1/8)) or y = (0-2^(1/2))/(2*(-1/8))

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

y in { -4*2^(1/2), 4*2^(1/2)}

y in { -4*2^(1/2), 4*2^(1/2) }

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