let-a-b-integer-and-C-a-2-b-2-Prove-that-there-exist-a-n-and-b-n-all-integers-such-as-C-n-a-n-2-b-n-2-explicit-a-5-and-b-5-interm-of-a-and-b-

Tinku Tara June 4, 2023 Differentiation 0 Comments

Question Number 90730 by ~blr237~ last updated on 25/Apr/20

let a ,b integer and C=a^2 +b^2 Prove that there exist a_n and b_n all integers such as C^n =a_n ^2 +b_n ^2 explicit a_5 and b_5 interm of a and b

$${let}\:{a}\:,{b}\:{integer}\:{and}\:\:{C}={a}^{\mathrm{2}} +{b}^{\mathrm{2}} \: \\ $$$${Prove}\:{that}\:{there}\:{exist}\:{a}_{{n}} \:{and}\:{b}_{{n}} \:{all}\: \\ $$$${integers}\:{such}\:{as}\:{C}^{{n}} ={a}_{{n}} ^{\mathrm{2}} \:+{b}_{{n}} ^{\mathrm{2}} \: \\ $$$${explicit}\:{a}_{\mathrm{5}} \:{and}\:{b}_{\mathrm{5}} \:{interm}\:{of}\:{a}\:{and}\:\:{b} \\ $$

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let-a-b-integer-and-C-a-2-b-2-Prove-that-there-exist-a-n-and-b-n-all-integers-such-as-C-n-a-n-2-b-n-2-explicit-a-5-and-b-5-interm-of-a-and-b-

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