(w-3/w+8)=(2/7)

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Solution for (w-3/w+8)=(2/7) equation:


D( w )

w = 0

w = 0

w = 0

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

w-(3/w)+8 = 2/7 // - 2/7

w-(3/w)-(2/7)+8 = 0

w-3*w^-1-2/7+8 = 0

1*w^1-3*w^-1+54/7*w^0 = 0

(1*w^2+54/7*w^1-3*w^0)/(w^1) = 0 // * w^2

w^1*(1*w^2+54/7*w^1-3*w^0) = 0

w^1

w^2+(54/7)*w-3 = 0

w^2+(54/7)*w-3 = 0

DELTA = (54/7)^2-(-3*1*4)

DELTA = 3504/49

DELTA > 0

w = ((3504/49)^(1/2)-(54/7))/(1*2) or w = (-(54/7)-(3504/49)^(1/2))/(1*2)

w = ((3504/49)^(1/2)-54/7)/2 or w = (-((3504/49)^(1/2)+54/7))/2

w in { (-((3504/49)^(1/2)+54/7))/2, ((3504/49)^(1/2)-54/7)/2}

w in { (-((3504/49)^(1/2)+54/7))/2, ((3504/49)^(1/2)-54/7)/2 }

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