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Find-the-set-x-x-b-a-b-a-2-b-2-a-gt-0-b-gt-0-




Question Number 153160 by mathdanisur last updated on 05/Sep/21
Find the set:  { x ∣ x = ((b∙(a + b))/(a^2  + b^2 ))  ;  a>0 , b>0}
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{set}: \\ $$$$\left\{\:\mathrm{x}\:\mid\:\mathrm{x}\:=\:\frac{\mathrm{b}\centerdot\left(\mathrm{a}\:+\:\mathrm{b}\right)}{\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} }\:\:;\:\:\mathrm{a}>\mathrm{0}\:,\:\mathrm{b}>\mathrm{0}\right\} \\ $$

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