4/w-1/3=7/3w

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Solution for 4/w-1/3=7/3w equation:


D( w )

w = 0

w = 0

w = 0

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

4/w-(1/3) = (7/3)*w // - (7/3)*w

4/w-((7/3)*w)-(1/3) = 0

(-7/3)*w+4/w-1/3 = 0

4*w^-1-7/3*w^1-1/3*w^0 = 0

(4*w^0-7/3*w^2-1/3*w^1)/(w^1) = 0 // * w^2

w^1*(4*w^0-7/3*w^2-1/3*w^1) = 0

w^1

(-7/3)*w^2+(-1/3)*w+4 = 0

(-7/3)*w^2+(-1/3)*w+4 = 0

DELTA = (-1/3)^2-(4*4*(-7/3))

DELTA = 337/9

DELTA > 0

w = ((337/9)^(1/2)-(-1/3))/(2*(-7/3)) or w = (-(-1/3)-(337/9)^(1/2))/(2*(-7/3))

w = -3/14*((337/9)^(1/2)+1/3) or w = -3/14*(1/3-(337/9)^(1/2))

w in { -3/14*((337/9)^(1/2)+1/3), -3/14*(1/3-(337/9)^(1/2))}

w in { -3/14*((337/9)^(1/2)+1/3), -3/14*(1/3-(337/9)^(1/2)) }

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