Difference between revisions of "1984 AIME Problems/Problem 15"
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== Problem == | == Problem == | ||
| + | Determine <math>\displaystyle w^2+x^2+y^2+z^2</math> if | ||
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| + | <center><math> \frac{x^2}{2^2-1}+\frac{y^2}{2^2-3^2}+\frac{z^2}{2^2-5^2}+\frac{w^2}{2^2-7^2}=1 </math></center> | ||
| + | <center><math> \frac{x^2}{4^2-1}+\frac{y^2}{4^2-3^2}+\frac{z^2}{4^2-5^2}+\frac{w^2}{4^2-7^2}=1 </math></center> | ||
| + | <center><math> \frac{x^2}{6^2-1}+\frac{y^2}{6^2-3^2}+\frac{z^2}{6^2-5^2}+\frac{w^2}{6^2-7^2}=1 </math></center> | ||
| + | <center><math> \frac{x^2}{8^2-1}+\frac{y^2}{8^2-3^2}+\frac{z^2}{8^2-5^2}+\frac{w^2}{8^2-7^2}=1 </math></center> | ||
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== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 01:53, 21 January 2007
Problem
Determine 
if
Solution
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