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Stage: 5 Challenge Level: 
Find all real solutions of the equation
$$(x^2-7x+11)^{(x^2-11x+30)} = 1.$$
You may also be interested in the problem Mega Quadratic Equations.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.