Find x, y, and z such that x³+y³+z³= k, for each k from 1 to 100.  Also, explain from a textbook or something how and where did you based to get answers.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 9AEXP
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Problem: Algebra

Find x, y, and z such that x³+y³+z³= k, for each k from 1 to 100. 

Also, explain from a textbook or something how and where did you based to get answers. 

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