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Maths Questions ^_^

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Mao:

--- Quote from: Odette on May 15, 2008, 07:09:18 pm ---Oh and another question (8+6i) ^1/3 ... I keep getting the same answer and it's wrong.
Here's what i did:
r = sqrt (8^2 + 6^2)
r= sqrt (100)
r= 10

= tan^-1 (6/8)
 = 0.64

z^1/3= 10 ^1/3 (cos (1/3 * 0.64) + i sin (1/3 *0.64) )
        = 10 ^1/3 (cos (0.22) + i sin (0.22))
        = 2.15 e ^0.22i
        = 2.10 + 0.46i

--- End quote ---
why is this wrong?

there are two more solutions, is that what you meant?

remember:

, where k is an integer.

Odette:
Huh? What's k? I don't get it >.<

/0:

--- Quote from: dcc on April 28, 2008, 10:40:40 pm ---Complex Numbers were created because mathematicians were getting annoyed at equations like (which of course has no solution in the reals).  They are an extension on the real numbers which includes a new unit called the 'imaginary unit'.  Mathematicians define this 'imaginary unit' as .

--- End quote ---

Has anyone defined the log of a negative number? :D

Mao:


:P

AppleXY:

--- Quote from: Odette on May 15, 2008, 09:46:41 pm ---Huh? What's k? I don't get it >.<

--- End quote ---

k is an integer, like 1,2,3...

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