Russian 1997

Do there exist reals b, c so that x² + bx + c = 0 and x² + (b+1)x + (c+1) = 0 both have two integral roots?

Solution

b = 2, c = 1

Thanks to Suat Namli

Russian 1997

© John Scholes
jscholes@kalva.demon.co.uk
12 January 2004
Last corrected/updatd 12 Jan 04