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Viluxent Set 1 Paper 1 · Q1

Paper 1Algebra

Real numbers x,y,zx,y,z satisfy

x+y+z=6,xy+yz+xz=9.x+y+z=6,\qquad xy+yz+xz=9.

Find the number of ordered triples (x,y,z)(x,y,z) of real numbers for which xyzxyz attains its maximum possible value.

A11
B22
C33
D44
E66
FInfinitely many

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