How do we solve a equation such as $$|x^2-4x+3|=x^2-4x+3$$
What are the most necessary steps to written,when solving such a question in a pure mathematics paper?
2026-04-01 00:04:25.1775001865
Solving equations with modulus sign
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Using $|x| = x\;,$ when $x\geq 0$
So $|x^2-4x+3| = x^2-4x+3\Rightarrow x^2-4x+3\geq 0$
So $(x-1)(x-3)\geq 0$
So $x\leq 1\cup x\geq 3$