6/y-4y-4/3y=6

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Solution for 6/y-4y-4/3y=6 equation:


D( y )

y = 0

y = 0

y = 0

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

6/y-(4*y)-((4/3)*y) = 6 // - 6

6/y-(4*y)-((4/3)*y)-6 = 0

(-4/3)*y-4*y+6/y-6 = 0

6*y^-1-16/3*y^1-6*y^0 = 0

(6*y^0-16/3*y^2-6*y^1)/(y^1) = 0 // * y^2

y^1*(6*y^0-16/3*y^2-6*y^1) = 0

y^1

(-16/3)*y^2-6*y+6 = 0

(-16/3)*y^2-6*y+6 = 0

DELTA = (-6)^2-(4*6*(-16/3))

DELTA = 164

DELTA > 0

y = (164^(1/2)+6)/(2*(-16/3)) or y = (6-164^(1/2))/(2*(-16/3))

y = -3/32*(2*41^(1/2)+6) or y = -3/32*(6-2*41^(1/2))

y in { -3/32*(2*41^(1/2)+6), -3/32*(6-2*41^(1/2))}

y in { -3/32*(2*41^(1/2)+6), -3/32*(6-2*41^(1/2)) }

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