System with Cube Roots

Solve the following equations: $x + y = 1072$ , $x^{ rac{1}{3}} + y^{ rac{1}{3}} = 16$ .

~10 minAnswer checked instantlysimultaneous equationsradical equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 19

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