-3/y-3=y/-6

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Solution for -3/y-3=y/-6 equation:


D( y )

y = 0

y = 0

y = 0

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

-3/y-3 = y/(-6) // - y/(-6)

-(y/(-6))-3/y-3 = 0

1/6*y^1-3*y^-1-3*y^0 = 0

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

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

y^1

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

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

DELTA = (-3)^2-(-3*4*(1/6))

DELTA = 11

DELTA > 0

y = (11^(1/2)+3)/(2*(1/6)) or y = (3-11^(1/2))/(2*(1/6))

y = 3*(11^(1/2)+3) or y = 3*(3-11^(1/2))

y in { 3*(3-11^(1/2)), 3*(11^(1/2)+3)}

y in { 3*(3-11^(1/2)), 3*(11^(1/2)+3) }

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