w/4+5/8-2/w=7/8-2w/4

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Solution for w/4+5/8-2/w=7/8-2w/4 equation:


D( w )

w = 0

w = 0

w = 0

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

w/4-(2/w)+5/8 = 7/8-((2*w)/4) // - 7/8-((2*w)/4)

w/4+(2*w)/4-(2/w)+5/8-(7/8) = 0

w/4+(2*w)/4-2*w^-1+5/8-7/8 = 0

3/4*w^1-2*w^-1-1/4*w^0 = 0

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

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

w^1

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

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

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

DELTA = 97/16

DELTA > 0

w = ((97/16)^(1/2)-(-1/4))/(2*(3/4)) or w = (-(-1/4)-(97/16)^(1/2))/(2*(3/4))

w = 2/3*((97/16)^(1/2)+1/4) or w = 2/3*(1/4-(97/16)^(1/2))

w in { 2/3*(1/4-(97/16)^(1/2)), 2/3*((97/16)^(1/2)+1/4)}

w in { 2/3*(1/4-(97/16)^(1/2)), 2/3*((97/16)^(1/2)+1/4) }

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