Show that if r is a nonzero real number, k and m are distinct integers, and ak and am

Chapter 5, Problem 20

(choose chapter or problem)

Show that if r is a nonzero real number, k and m are distinct integers, and \(a_{k}\) and \(a_{m}\) are any real numbers, then there exist unique real numbers C and D so that

\(Cr^{k} + kDr^{k} = a_{k}\)

\(Cr^{m} + lDr^{m} = a_{m}\).

Text Transcription:

a_k

a_m

Cr^k + kDr^k = a_k

Cr^m + lDr^m = a_m

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