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Euclid Sample Paper 1 · Q6

Paper 1Algebra

The real numbers a,b,ca,b,c satisfy

a+b+c=6andab+bc+ca=9.a+b+c=6\qquad\text{and}\qquad ab+bc+ca=9.

What is the greatest possible value of cc?

A33
B3+33+\sqrt3
C3+233+2\sqrt3
D44
E66

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