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

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

Revision as of 01:49, 2 March 2007

Problem

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

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

Solution

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See also

1990 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Last question
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All AIME Problems and Solutions
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