MathDB

7

Part of 1985 Spain Mathematical Olympiad

Problems(1)

2 roots of x^5-px-1 = 0, are roots of x^2-ax+b= 0$ for some integers a,b

Source: Spanish Mathematical Olympiad 1985 P7

8/2/2018
Find the values of pp for which the equation x5−px−1=0x^5 - px-1 = 0 has two roots rr and ss which are the roots of equation x2−ax+b=0x^2-ax+b= 0 for some integers a,ba,b.
polynomialrootsInteger Polynomialpolynomial equationalgebra