Power quady

Find all real solutions of the equation (x^2-7x+11)^(x^2-11x+30) = 1.
Age
16 to 18
Challenge level
filled star empty star empty star
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem

This problem is now part of the problem Mega Quadratic Equations.