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I have spent a lot of time finding an analytic root to this equation without success. An analytic root may not exist. I don't know. It is roughly equal to (8facorial)^(1/8)

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- Thread starter MaxwellPhill
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- #1

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I have spent a lot of time finding an analytic root to this equation without success. An analytic root may not exist. I don't know. It is roughly equal to (8facorial)^(1/8)

- #2

Zurtex

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x = 0 is closer than your x = 3.764350600, but that's only taken it down to 4 rather than 8.0003108.

- #3

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Trig functions of the form cosx+cosy =0 can be solved because of the product formula:

cos(x)+cox(y)=2*(cos((x+y)/2))*(cos((x-y)/2)))

but is there such a formula for cos(x)+cos(y)+cos(z) ?

- #4

Zurtex

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I don't think there is any simplification like you want.

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