2/y=y/6

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Solution for 2/y=y/6 equation:


D( y )

y = 0

y = 0

y = 0

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

2/y = y/6 // - y/6

2/y-(y/6) = 0

2*y^-1-1/6*y^1 = 0

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

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

y^1

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

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

DELTA = 0^2-(2*4*(-1/6))

DELTA = 4/3

DELTA > 0

y = ((4/3)^(1/2)+0)/(2*(-1/6)) or y = (0-(4/3)^(1/2))/(2*(-1/6))

y = -3*(4/3)^(1/2) or y = 3*(4/3)^(1/2)

y in { -3*(4/3)^(1/2), 3*(4/3)^(1/2)}

y in { -3*(4/3)^(1/2), 3*(4/3)^(1/2) }

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