Stage: 4 Challenge Level: 
Find all real solutions of the equation
$$(x^2-7x+11)^{(x^2-11x+30)} = 1.$$
Generalising. Golden ratio. Manipulating algebraic expressions/formulae. Stage 5 - Reviewed 2012. Index notation/Indices. Mathematical reasoning & proof. Number theory. Inequality/inequalities. Algebra - generally. Quadratic equations.
Published October 2003.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk