Difference between revisions of "User:Temperal/The Problem Solver's Resource Tips and Tricks"
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This technique can also be used to solve quadratics of high degrees, i.e. <math>x^16+x^4+6=0</math>; let <math>y=x^4</math>, and solve from there. | This technique can also be used to solve quadratics of high degrees, i.e. <math>x^16+x^4+6=0</math>; let <math>y=x^4</math>, and solve from there. | ||
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*Remember the special properties of odd numbers: For any odd number <math>o</math>, <math>o=2n-1</math> for some integer <math>n</math>, and <math>o=a^2-(a-1)^2</math> for some positive integer <math>a</math>. | *Remember the special properties of odd numbers: For any odd number <math>o</math>, <math>o=2n-1</math> for some integer <math>n</math>, and <math>o=a^2-(a-1)^2</math> for some positive integer <math>a</math>. | ||
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#Integrals and derivatives, especially integrals. | #Integrals and derivatives, especially integrals. | ||
− | *Test your skills on [http://mathlinks.ro/Forum/resources.php practice | + | *Test your skills on [http://mathlinks.ro/Forum/resources.php practice AIMEs] often! |
[[User:Temperal/The Problem Solver's Resource|Back to Introduction]] | [[User:Temperal/The Problem Solver's Resource|Back to Introduction]] | ||
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Revision as of 21:14, 10 October 2007
Other Tips and TricksThis is a collection of general techniques for solving problems.
Example Problem Number 1If SolutionLet This technique can also be used to solve quadratics of high degrees, i.e.
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