Question: Consider the constants A, B, C and the function f(x, y) = Ax^2 + Bxy + Cy^2. S how that the only choice of coefficients

Consider the constants A, B, C and the function

f(x, y) = Ax^2 + Bxy + Cy^2.

Show that the only choice of coefficients A, B, C giving ^2f/x^2+^2f/y^2= 2,

are A=1-s2

B=s1

C=s2

where s1, s2 are arbitrary.

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