St. Petersburg MO 2017 Grade 10 P1
Source: St. Petersburg MO 2017 Grade 10 P1
May 3, 2018
algebra
Problem Statement
It’s allowed to replace any of three coefficients of quadratic trinomial by its discriminant. Is it true that from any quadratic trinomial that does not have real roots, we can perform such operation several times to get a quadratic trinomial that have real roots?