((3/w)-(6/2w+1))/((5/w)+(8/2w+1))=0

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Solution for ((3/w)-(6/2w+1))/((5/w)+(8/2w+1))=0 equation:


D( w )

(8/2)*w+5/w+1 = 0

w = 0

(8/2)*w+5/w+1 = 0

(8/2)*w+5/w+1 = 0

4*w^1+5*w^-1+1*w^0 = 0

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

w^1*(4*w^2+1*w^1+5*w^0) = 0

w^1

4*w^2+w+5 = 0

4*w^2+w+5 = 0

DELTA = 1^2-(4*4*5)

DELTA = -79

DELTA < 0

w in { }

w = 0

w = 0

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

(3/w-((6/2)*w)-1)/((8/2)*w+5/w+1) = 0

(3/w-3*w-1)/((8/2)*w+5/w+1) = 0

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

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

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

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

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

w^1

3-3*w^2-w = 0

3-3*w^2-w = 0

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

DELTA = 37

DELTA > 0

w = (37^(1/2)+1)/(-3*2) or w = (1-37^(1/2))/(-3*2)

w = (37^(1/2)+1)/(-6) or w = (1-37^(1/2))/(-6)

w in { (37^(1/2)+1)/(-6), (1-37^(1/2))/(-6)}

(w-((37^(1/2)+1)/(-6)))*(w-((1-37^(1/2))/(-6))) = 0

4*w+5*w^-1+1 = 0

4*w^1+5*w^-1+1*w^0 = 0

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

w^1*(4*w^2+1*w^1+5*w^0) = 0

w^1

4*w^2+w+5 = 0

4*w^2+w+5 = 0

DELTA = 1^2-(4*4*5)

DELTA = -79

DELTA < 0

w in { }

1 = 0

(w-((37^(1/2)+1)/(-6)))*(w-((1-37^(1/2))/(-6))) = 0

( w-((1-37^(1/2))/(-6)) )

w-((1-37^(1/2))/(-6)) = 0 // + (1-37^(1/2))/(-6)

w = (1-37^(1/2))/(-6)

( w-((37^(1/2)+1)/(-6)) )

w-((37^(1/2)+1)/(-6)) = 0 // + (37^(1/2)+1)/(-6)

w = (37^(1/2)+1)/(-6)

w in { (1-37^(1/2))/(-6), (37^(1/2)+1)/(-6) }

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