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#1 2008-12-13 20:48:26
- Jai Ganesh
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- Registered: 2005-06-28
- Posts: 49,179
Complex Numbers - Pre University level I
1. What are the Real and Imaginary parts of the number 4 -i√3.
2. What is the conjugate of
3. If z=2 - i√3, then what is the value of
4. Express the following complex number in the forma + ib.
5. Find the real and imaginary parts of
6. If
find the conjugate of .
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2 2008-12-19 14:49:47
- glenn101
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- Registered: 2008-04-02
- Posts: 108
Re: Complex Numbers - Pre University level I
1.
real part is 4
complex part is -i√3.
2.
the conjugate is
1/2+1/2*i
4.
5+5i 3+4i
------*------
3-4i 3+4i
= 15+20i+15i+20i^2
--------
25
= 15-20+20i+15i
-------
25
= -5+35i
------
25
= -1 7
---+---*i
5 5
Thats all I can do with my complex knowledge:)
"If your going through hell, keep going."
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#3 2008-12-19 22:45:57
- Jai Ganesh
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- Registered: 2005-06-28
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Re: Complex Numbers - Pre University level I
glenn101,
Your answers are all correct,
the only trivial mistake I noticed is in answer to 1, where when the real and imaginary parts are said, the imaginary part shouldn't include 'i'.
Well done!!! 
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4 2008-12-28 16:07:30
- careless25
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- Registered: 2008-07-24
- Posts: 560
Re: Complex Numbers - Pre University level I
4. (-5 + 35i)/ 25
-0.2 + 1.4i
Edit: Oops!
Last edited by careless25 (2008-12-30 04:23:35)
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#5 2008-12-28 16:55:08
- Jai Ganesh
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- Registered: 2005-06-28
- Posts: 49,179
Re: Complex Numbers - Pre University level I
A minor mistake, careless25. Please try and post the correct answer.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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