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lvl10720-Turquoise
20-Turquoise
Jul 2, 2014 11:35 AM UTC
Question

-1i + { 2i / [ [(e^(-2i*atan(x))^1i]^1i + 1 ] } = x . Find x ? . How many solutions ?

Hello, Everyone.

How+many+solutions.PNG

Thanks in advance for your time and help.

Regards.

5 replies

MatthewHawkins1-Visitor
1-Visitor
Jul 2, 2014 12:34 PM UTC

I cant view your attachment because i dont have mathcad but, I believe the answer is four real and four imaginary. Sorry if this was not what you needed help with.

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Werner_E
Werner_E25-Diamond I
25-Diamond I
Jul 2, 2014 2:54 PM UTC

Its the identity again (at least from Mathcad's point of view).

Are you trying to tease us?

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MatthewHawkins1-Visitor
1-Visitor
Jul 2, 2014 3:26 PM UTC

No sorry, i thought you just wanted the solutions to the equation which are:

x = -0.145819 + 0.940201i

x = -0.00779584 + 1.01064i

x = 0.00779584 + 1.01064i

x = 0.145819 + 0.940201i

,guess i was wrong.

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LucMeekes23-Emerald V
23-Emerald V
Jul 2, 2014 8:59 PM UTC

Matthew,

Werner was replying to Loi Le..

Anyway, there are much more solutions.

ComplexIdentity.png

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