MathDB

10.1

Part of 1997 All-Russian Olympiad Regional Round

Problems(1)

MK-97 has 4 operations - All-Russian MO 1997 Regional (R4) 10.1

Source:

9/24/2024
The microcalculator ''MK-97'' can work out the numbers entered in memory, perform only three operations: a) check whether the selected two numbers are equal; b) add the selected numbers; c) using the selected numbers aa and bb, find the equation x2+ax+b=0x^2 +ax+b = 0, and if there are no roots, display a message about this. The results of all actions are stored in memory. Initially, one number xx is stored in memory. How to use ''MK-97'' to find out whether is this number one?
algebracombinatorics