Difference between revisions of "1990 AIME Problems/Problem 15"

Revision as of 01:49, 2 March 2007

Find $a_{}^{}x^5 + b_{}y^5$ if the real numbers $a_{}^{}$ , $b_{}^{}$ , $x_{}^{}$ , and $y_{}^{}$ satisfy the equations

$ax + by = 3^{}_{},$ $ax^2 + by^2 = 7^{}_{},$ $ax^3 + by^3 = 16^{}_{},$ $ax^4 + by^4 = 42^{}_{}.$

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 == See also ==
-* [[1990 AIME Problems]]
+{{AIME box|year=1990|num-b=14|after=Last question}}

1990 AIME (Problems • Answer Key • Resources)
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All AIME Problems and Solutions