System of Quadratic Equations

Solve the system of equations: $x (a + x) = y (b + y)$ , $a x + b y = (x + y)^{2}$ .

~15 minAnswer checked instantlysystems of equationsquadratic equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.b, No. 37

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