This problem is from the 2007 AMATYC spring competition. It simply requires solving a quadratic for real values of x or y.
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Similar matrices have the same characteristic polynomial
a * b = ab + a + b
Prove that (1/x + 1/y + 1/z) is greater than 3
Estonian Math Olympiad
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Find the smallest n
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A Canadian Problem
Prove that n^3 +11n is divisible by 6
x^y = y^(x-y)
Integrate x^-x dx
2^(2^x) = 16^(16^16)
x^2 + cos x = 2024
(n-1)!+1 = n^2
1995 British Mathematics Olympiad problem
Find a+b+c+d
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