Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 4"
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== Problem == | == Problem == | ||
Let <math>\displaystyle n</math> be the smallest positive integer for which there exist positive real numbers <math>\displaystyle a</math> and <math>\displaystyle b</math> such that <math>\displaystyle (a+bi)^n=(a-bi)^n</math>. Compute <math>\displaystyle \frac{b^2}{a^2}</math>. | Let <math>\displaystyle n</math> be the smallest positive integer for which there exist positive real numbers <math>\displaystyle a</math> and <math>\displaystyle b</math> such that <math>\displaystyle (a+bi)^n=(a-bi)^n</math>. Compute <math>\displaystyle \frac{b^2}{a^2}</math>. | ||
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| + | ==Solution== | ||
| + | {{solution}} | ||
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| + | ---- | ||
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| + | *[[Mock AIME 2 2006-2007/Problem 3 | Previous Problem]] | ||
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| + | *[[Mock AIME 2 2006-2007/Problem 5 | Next Problem]] | ||
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| + | *[[Mock AIME 2 2006-2007]] | ||
Revision as of 18:47, 22 August 2006
Problem
Let 
be the smallest positive integer for which there exist positive real numbers 
and 
such that 
. Compute 
.
Solution
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