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Find all the roots.


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2 replies to this topic

#1 Rob_Gandy

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Posted 19 September 2012 - 12:33 AM

I'd say 'Can you find all the roots?,' but I know this will get solved. ^_^


This problem was posted a few years ago in the math department of the college I attended. I got a math club t-shirt and a certificate for getting the correct answer.

Find all the roots of the following equation without the use of technology.:

x6sin(x)+240-14x5sin(x)-308x+69x4sin(x)+22x2-126x3sin(x)+126x3-22x2sin(x)-69x4+308xsin(x)+14x5-240sin(x)-x6=0


Spoiler for Small hint.

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#2 mmiguel

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Posted 19 September 2012 - 07:43 AM

I'd say 'Can you find all the roots?,' but I know this will get solved. ^_^


This problem was posted a few years ago in the math department of the college I attended. I got a math club t-shirt and a certificate for getting the correct answer.

Find all the roots of the following equation without the use of technology.:

x6sin(x)+240-14x5sin(x)-308x+69x4sin(x)+22x2-126x3sin(x)+126x3-22x2sin(x)-69x4+308xsin(x)+14x5-240sin(x)-x6=0


Spoiler for Small hint.


Spoiler for fun

Edited by mmiguel, 19 September 2012 - 07:51 AM.

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#3 Rob_Gandy

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Posted 19 September 2012 - 06:45 PM

Spoiler for fun


Spoiler for The only difference in my method was

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