(24-w)/w=3w-8

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Solution for (24-w)/w=3w-8 equation:


D( w )

w = 0

w = 0

w = 0

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

(24-w)/w = 3*w-8 // - 3*w-8

(24-w)/w-(3*w)+8 = 0

(24-w)/w-3*w+8 = 0

(24-w)/w+(-3*w*w)/w+(8*w)/w = 0

8*w-3*w*w-w+24 = 0

8*w-3*w^2-w+24 = 0

7*w-3*w^2+24 = 0

7*w-3*w^2+24 = 0

7*w-3*w^2+24 = 0

DELTA = 7^2-(-3*4*24)

DELTA = 337

DELTA > 0

w = (337^(1/2)-7)/(-3*2) or w = (-337^(1/2)-7)/(-3*2)

w = (337^(1/2)-7)/(-6) or w = (337^(1/2)+7)/6

(w-((337^(1/2)-7)/(-6)))*(w-((337^(1/2)+7)/6)) = 0

((w-((337^(1/2)-7)/(-6)))*(w-((337^(1/2)+7)/6)))/w = 0

((w-((337^(1/2)-7)/(-6)))*(w-((337^(1/2)+7)/6)))/w = 0 // * w

(w-((337^(1/2)-7)/(-6)))*(w-((337^(1/2)+7)/6)) = 0

( w-((337^(1/2)+7)/6) )

w-((337^(1/2)+7)/6) = 0 // + (337^(1/2)+7)/6

w = (337^(1/2)+7)/6

( w-((337^(1/2)-7)/(-6)) )

w-((337^(1/2)-7)/(-6)) = 0 // + (337^(1/2)-7)/(-6)

w = (337^(1/2)-7)/(-6)

w in { (337^(1/2)+7)/6, (337^(1/2)-7)/(-6) }

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