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December 17th, 2012, 11:29 PM   #1
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Find x and y.


I know answer is (3;1) but I am looking for another root(s).
I got this
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December 17th, 2012, 11:45 PM   #2
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Re: Find x and y.

I would use the first equation, and substitute into the second, to get the quartic in :







and then use a numeric root finding technique to approximate the other 3 irrational roots:

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December 18th, 2012, 04:12 AM   #3
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Re: Find x and y.

Only one of these irrational roots may be correct. I analyzed my incomplete solution . a is near to 4
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December 18th, 2012, 04:17 AM   #4
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Re: Find x and y.

They are all correct. You have made an error with your incomplete solution.
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December 18th, 2012, 04:51 AM   #5
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Re: Find x and y.

Quote:
Originally Posted by MarkFL
They are all correct. You have made an error with your incomplete solution.
Can you show your solution. Just capture with webcam and upload.
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December 18th, 2012, 05:09 AM   #6
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Re: Find x and y.

I have already shown the numerically approximated roots. I'm not going to manually grind out the 3 irrational roots using the Newton-Raphson method, since that is a technique from differential calculus. If you feel incomplete with these roots as given, then try the quartic formula.
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December 18th, 2012, 05:33 AM   #7
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Re: Find x and y.

Quote:
Originally Posted by MarkFL
I have already shown the numerically approximated roots. I'm not going to manually grind out the 3 irrational roots using the Newton-Raphson method, since that is a technique from differential calculus. If you feel incomplete with these roots as given, then try the quartic formula.
OK, I will try, after watching american horror story:asylum
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