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(398) 6

Part of 1993 Tournament Of Towns

Problems(1)

TOT 3981993 Autumn A S6 x^4+ax^3+2x^2+bx+1=0

Source:

6/12/2024
If it is known that the equation x4+ax3+2x2+bx+1=0x^4+ax^3+2x^2+bx+1=0 has a (real) root, prove the inequality a2+b2≥8.a^2+b^2 \ge 8. (A Egorov)
algebrainequalitiespolynomial