1972 AHSME Problems/Problem 11
Problem
The value(s) of for which the following pair of equations may have a real common solution, are
Solution
Because x2 + y2 + 16 = 0 has no real solutions, ∀ sets containing x2 + y2 + 16 = 0, no real solutions may exist.
∴ the solution is
– TylerO_1.618