MathDB
x^6 -x^5 +x^4 -x^3 +x^2 -x+ 3/4 has no real roots

Source: 1986 Swedish Mathematical Competition p1

March 28, 2021
algebrapolynomial

Problem Statement

Show that the polynomial x6−x5+x4−x3+x2−x+34x^6 -x^5 +x^4 -x^3 +x^2 -x+\frac34 has no real zeroes.
Back to ProblemsView on AoPS