let-a-b-c-be-integers-such-as-0-lt-a-2-b-2-abc-lt-c-prove-that-a-2-b-2-abc-is-an-integer-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 127332 by snipers237 last updated on 28/Dec/20

let a,b,c be integers such as 0<a^2 +b^2 −abc < c prove that (√(a^2 +b^2 −abc)) is an integer

$${let}\:{a},{b},{c}\:{be}\:{integers}\:{such}\:{as} \\ $$$$\mathrm{0}<{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −{abc}\:<\:{c}\: \\ $$$${prove}\:{that}\:\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −{abc}}\:\:{is}\:{an}\:{integer} \\ $$

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let-a-b-c-be-integers-such-as-0-lt-a-2-b-2-abc-lt-c-prove-that-a-2-b-2-abc-is-an-integer-

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