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djwarfield
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#1
Report Thread starter 17 years ago
#1
I think I have it on the calculator, but I was wondering if there was an easy formula to do it with

i=imaginary number

(-2+5i)6th power(3+4i)/2-7i

i think the answer is:

(3484.57,16383.98)
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Phil_C
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#2
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#2
(Original post by djwarfield)
I think I have it on the calculator, but I was wondering if there was an easy formula to do it with

i=imaginary number

(-2+5i)6th power(3+4i)/2-7i

i think the answer is:

(3484.57,16383.98)
Yup agree with your answer.

Yes there is a method, use binomial expansion on (....)^6 and replace the i^power with relevant -1, 1, i gives you (15939-18460i)
Then multiply out remaining bracket on top
(15939-18460i)(3+4i) = 121657+8376i

Use difference of two squares to remove i from denominator (multiply numerator and denominator by (2+7i) giving: new multiply on top
Numerator: (121657 + 8376i)*(2+7i) = (184682+868351i)
Denominator: (2-7i)*(2+7i) = 53 so
(184682+868351i)/53=3484.566+16383.9811i

Hope that makes sense!
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kyuuki
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*looks slightly confused then spots a squirrel, LOOK A SQUIRREL! *runs after it skipping with joy.
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Adhsur
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(Original post by kyuuki)
*looks slightly confused then spots a squirrel, LOOK A SQUIRREL! *runs after it skipping with joy.
Eeee, the fun and frolics of youthfulness! (evil smiley)
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Phil_C
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(Original post by Adhsur)
Eeee, the fun and frolics of youthfulness! (evil smiley)
That makes me the sad and slow, crippled one who enjoys such challenges as Complex numbers after a pint or two.
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Juwel
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(Original post by Adhsur)
Eeee, the fun and frolics of youthfulness! (evil smiley)
:rolleyes: Grow up
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Phil_C
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Can't too old. would like to grow young though!
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Adhsur
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(Original post by ZJuwelH)
:rolleyes: Grow up
:eek: Juwely!!!
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Adhsur
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(Original post by Phil_C)
That makes me the sad and slow, crippled one who enjoys such challenges as Complex numbers after a pint or two.
Oh not at all!
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theone
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I often take up complex numbers after having a couple of pints [/sarcasm].

(it isn't easy to be sarcastic)
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Juwel
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(Original post by Adhsur)
:eek: Juwely!!!
Yeah that's me, your one and only Street Soldier.
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Juwel
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(Original post by theone)
I often take up complex numbers after having a couple of pints [/sarcasm].

(it isn't easy to be sarcastic)
It isn't? (!)
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