# Difference between revisions of "1989 AIME Problems/Problem 8"

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== Problem == | == Problem == | ||

+ | Assume that <math>x_1,x_2,\ldots,x_7</math> are real numbers such that | ||

+ | <center><math>x_1+4x_2+9x_3+16x_4+25x_5+36x_6+49x_7=1^{}_{}</math></center> | ||

+ | <center><math>4x_1+9x_2+16x_3+25x_4+36x_5+49x_6+64x_7=12^{}_{}</math></center> | ||

+ | <center><math>9x_1+16x_2+25x_3+36x_4+49x_5+64x_6+81x_7=123^{}_{}</math></center> | ||

+ | |||

+ | Find the value of <math>16x_1+25x_2+36x_3+49x_4+64x_5+81x_6+100x_7^{}</math>. | ||

== Solution == | == Solution == | ||

+ | {{solution}} | ||

== See also == | == See also == | ||

+ | * [[1989 AIME Problems/Problem 9|Next Problem]] | ||

+ | * [[1989 AIME Problems/Problem 7|Previous Problem]] | ||

* [[1989 AIME Problems]] | * [[1989 AIME Problems]] |

## Revision as of 22:06, 24 February 2007

## Problem

Assume that are real numbers such that

Find the value of .

## Solution

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*