1/w-3-1/5w-15=4/5w-15

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Solution for 1/w-3-1/5w-15=4/5w-15 equation:


D( w )

w = 0

w = 0

w = 0

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

1/w-((1/5)*w)-15-3 = (4/5)*w-15 // - (4/5)*w-15

1/w-((1/5)*w)-((4/5)*w)-15-3+15 = 0

(-1/5)*w+(-4/5)*w+1/w-15-3+15 = 0

1*w^-1-1*w^1-3*w^0 = 0

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

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

w^1

1-w^2-3*w = 0

1-w^2-3*w = 0

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

DELTA = 13

DELTA > 0

w = (13^(1/2)+3)/(-1*2) or w = (3-13^(1/2))/(-1*2)

w = (13^(1/2)+3)/(-2) or w = (3-13^(1/2))/(-2)

w in { (13^(1/2)+3)/(-2), (3-13^(1/2))/(-2)}

w in { (13^(1/2)+3)/(-2), (3-13^(1/2))/(-2) }

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