#1249 · Algebra · Quadratics

Real values in a quadratic relation

Shew that in the equation $x^{2} - 3 x y + 2 y^{2} - 2 x - 3 y - 35 = 0$ , for every real value of $x$ there is a real value of $y$ , and for every real value of $y$ there is a real value of $x$ .

~10 minProof · checked by AIquadratic equationsdiscriminantreal variables

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.c, No. 8

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