157/w=2w-5

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Solution for 157/w=2w-5 equation:


D( w )

w = 0

w = 0

w = 0

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

157/w = 2*w-5 // - 2*w-5

157/w-(2*w)+5 = 0

157/w-2*w+5 = 0

157*w^-1-2*w^1+5*w^0 = 0

(5*w^1-2*w^2+157*w^0)/(w^1) = 0 // * w^2

w^1*(5*w^1-2*w^2+157*w^0) = 0

w^1

5*w-2*w^2+157 = 0

5*w-2*w^2+157 = 0

DELTA = 5^2-(-2*4*157)

DELTA = 1281

DELTA > 0

w = (1281^(1/2)-5)/(-2*2) or w = (-1281^(1/2)-5)/(-2*2)

w = (1281^(1/2)-5)/(-4) or w = (1281^(1/2)+5)/4

w in { (1281^(1/2)-5)/(-4), (1281^(1/2)+5)/4}

w in { (1281^(1/2)-5)/(-4), (1281^(1/2)+5)/4 }

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