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Babette is thinking of a monic quadratic polynomial with real coefficients. She tells you that when she squares the roots of her quadratic, to form another monic quadratic, surprisingly, it is the same as the original. How many different quadratic polynomials could Babette have been thinking of?

 Apr 6, 2022
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There are exactly three quadratics that Babette could have been thinking of.

 Apr 7, 2022

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