A Nice Math Olympiad Question | What Is The Value Of 'a' and 'b' In This Problem? | Best Trick

This image shows a simple algebraic system of two equations:

1. a + b= 20

2. a.b = 64,

with the goal of solving for the unknown variables A and B

#matholympiad #Algebra #MathChallenge #SolveForX #Equations #Mathematics #MathSolutions #ProblemSolving #STEM #MathPuzzle #AlgebraPractice

[ressouguerrier]

a+b=20; ab=64; solution; Determinons a et b; tirons b ds l'equation 1;a+b=20;b=20-a; portons b ds l'equation 2; ab=64; ∆=b²-4ac; ∆=(20)²-4(-1)(64)=0; ∆=656; √∆=√2²×2²×41;√∆=4√41; x'=-20+4√41|-2; x'=4(-5+√41)|-2=> x'=-2(-5+√41); x'=-10-2√41; x"=-20-4√41|-2; S={-10-2√41; 10+2√41}.