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tmua.me Medium Set F Paper 1 · Q20

Paper 1Algebra

For each real number xx, let m(x)m(x) be the smaller of the two numbers

(x−1)2+2and10−(x+1)2.(x-1)^2+2\qquad\text{and}\qquad 10-(x+1)^2.

What is the greatest possible value of m(x)m(x)?

A22
B6−236-2\sqrt3
C66
D6+236+2\sqrt3
E1010

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