6/4+2w=-2/w-10

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Solution for 6/4+2w=-2/w-10 equation:


D( w )

w = 0

w = 0

w = 0

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

2*w+6/4 = -2/w-10 // + -2/w-10

2*w-(-2/w)+6/4+10 = 0

2*w+2*w^-1+6/4+10 = 0

2*w^1+2*w^-1+23/2*w^0 = 0

(2*w^2+23/2*w^1+2*w^0)/(w^1) = 0 // * w^2

w^1*(2*w^2+23/2*w^1+2*w^0) = 0

w^1

2*w^2+(23/2)*w+2 = 0

2*w^2+(23/2)*w+2 = 0

DELTA = (23/2)^2-(2*2*4)

DELTA = 465/4

DELTA > 0

w = ((465/4)^(1/2)-(23/2))/(2*2) or w = (-(23/2)-(465/4)^(1/2))/(2*2)

w = ((465/4)^(1/2)-23/2)/4 or w = (-((465/4)^(1/2)+23/2))/4

w in { (-((465/4)^(1/2)+23/2))/4, ((465/4)^(1/2)-23/2)/4}

w in { (-((465/4)^(1/2)+23/2))/4, ((465/4)^(1/2)-23/2)/4 }

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