An algebra problem by A Former Brilliant Member

Algebra Level 4

Find the largest natural number aa for which the maximum value of f(x)=a−1+2x−x2 f(x) = a - 1 + 2x - x^{2} is smaller than minimum value of g(x)=x2−2ax+10−2a g(x) = x^{2} -2ax +10 -2a

A Former Brilliant Member by A Former Brilliant Member
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