Reciprocal Square Roots

Solve the following equations: $\frac{x}{y} + \frac{y}{x} = \frac{10}{3}$ , $x + y = 10$ .

~10 minAnswer checked instantlysimultaneous equationsrational equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 24

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