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NL-NWO 1976 Problem 4

    For a,b,x∈Ra,b, x \in R holds: x2−(2a2+4)x+a2+2a+b=0x^2 - (2a^2 + 4)x + a^2 + 2a + b = 0 . For which bb does this equation have at least one root between 00 and 11 for all aa ?

    Dataset text AI-MO AoPS. Quoted with source.

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