ITOT 42 Spring 2021 - THPT O - additive practice Question 4

An ordinary quadratic equation has at most two real roots. Can an equation $\lfloor x^2\rfloor+px+q=0$, with $p\ne0$, have more than 100 real roots? Here $\lfloor x^2\rfloor$ is the greatest integer not exceeding $x^2$. (5 points)



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