Find-the-number-of-triplets-x-a-b-where-x-is-a-real-number-and-a-b-belongs-to-the-set-1-2-3-4-5-6-7-8-9-such-that-x-2-a-x-b-0-where-x-denotes-the-fractional-part-of-real-number-x-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 122095 by Anuragkar last updated on 14/Nov/20

Find the number of triplets(x/a/b) where x is a real number and (a/b) belongs to the set {1/2/3/4/5/6/7/8/9} such that x^2 −a{x}+b =0 where {x} denotes the fractional part of real number x

$${Find}\:{the}\:\:{number}\:{of}\:{triplets}\left({x}/{a}/{b}\right)\:{where}\:{x} \\ $$$${is}\:{a}\:{real}\:{number}\:{and}\:\left({a}/{b}\right)\:{belongs}\:{to}\:{the}\:{set} \\ $$$$\left\{\mathrm{1}/\mathrm{2}/\mathrm{3}/\mathrm{4}/\mathrm{5}/\mathrm{6}/\mathrm{7}/\mathrm{8}/\mathrm{9}\right\}\:{such}\:{that}\: \\ $$$$ \\ $$$${x}^{\mathrm{2}} −{a}\left\{{x}\right\}+{b}\:=\mathrm{0} \\ $$$${where}\:\left\{{x}\right\}\:{denotes}\:{the}\:{fractional}\:{part}\:{of}\:{real}\:{number}\:{x} \\ $$$$ \\ $$$$ \\ $$

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Find-the-number-of-triplets-x-a-b-where-x-is-a-real-number-and-a-b-belongs-to-the-set-1-2-3-4-5-6-7-8-9-such-that-x-2-a-x-b-0-where-x-denotes-the-fractional-part-of-real-number-x-

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