(7w-56/55)/w-8/15w

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Solution for (7w-56/55)/w-8/15w equation: 


D( w )

w = 0

w = 0

w = 0

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

(7*w-(56/55))/w-((8/15)*w) = 0

(7*w-56/55)/w+(-8/15)*w = 0

(7*w-56/55)/w+(-8*w)/15 = 0

(15*(7*w-56/55))/(15*w)+(-8*w*w)/(15*w) = 0

15*(7*w-56/55)-8*w*w = 0

105*w-8*w^2-168/11 = 0

105*w-8*w^2-168/11 = 0

105*w-8*w^2-168/11 = 0

DELTA = 105^2-(-168/11*(-8)*4)

DELTA = 115899/11

DELTA > 0

w = ((115899/11)^(1/2)-105)/(-8*2) or w = (-(115899/11)^(1/2)-105)/(-8*2)

w = ((115899/11)^(1/2)-105)/(-16) or w = ((115899/11)^(1/2)+105)/16

(w-(((115899/11)^(1/2)-105)/(-16)))*(w-(((115899/11)^(1/2)+105)/16)) = 0

((w-(((115899/11)^(1/2)-105)/(-16)))*(w-(((115899/11)^(1/2)+105)/16)))/(15*w) = 0

((w-(((115899/11)^(1/2)-105)/(-16)))*(w-(((115899/11)^(1/2)+105)/16)))/(15*w) = 0 // * 15*w

(w-(((115899/11)^(1/2)-105)/(-16)))*(w-(((115899/11)^(1/2)+105)/16)) = 0

( w-(((115899/11)^(1/2)+105)/16) )

w-(((115899/11)^(1/2)+105)/16) = 0 // + ((115899/11)^(1/2)+105)/16

w = ((115899/11)^(1/2)+105)/16

( w-(((115899/11)^(1/2)-105)/(-16)) )

w-(((115899/11)^(1/2)-105)/(-16)) = 0 // + ((115899/11)^(1/2)-105)/(-16)

w = ((115899/11)^(1/2)-105)/(-16)

w in { ((115899/11)^(1/2)+105)/16, ((115899/11)^(1/2)-105)/(-16) }

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