#1322 · Algebra · Systems
Fractional Exponent System
Solve the following equations: x^{ rac{1}{2}}y^{ rac{1}{2}} + yx^{ rac{1}{2}} = 20, x^{ rac{3}{2}} + y^{ rac{3}{2}} = 65.
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 20
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).