#987 · Algebra · Functional equations

Relation Between x and z from Paired Variations

Given that $x + y$ varies as $z + \frac{1}{z}$ and $x - y$ varies as $z - \frac{1}{z}$ , find the relation between $x$ and $z$ knowing that $z = 2$ when $x = 3$ and $y = 1$ .

~5 minAnswer checked instantlyDirect variationProportionality

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. III. Variation, Examples III, No. 12

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).