Solve algebraically

Question

x^2-6x+9>0

Answer 1

<=>(x-3)^2>0 <=> -infinity<x<infinity
i applied a^2-2ab+b^2=(a-b)^2

Answer 2

x^2 - 6x + 9 > 0.
(x-3)^2 > 0,
Take sqrt of both sides:
x-3 > 0, X > 3.