Question

√ x² – 2x + 3 = 2x – 1
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Answer 1

$\sf \sqrt{x^2}-2x+3=2x-1\\\\\\x^2=16x^2-32x+16\\\\\\x=\dfrac{4}{3},\:x=\dfrac{4}{5}\\\\\\\to \boxed{\sf x=\frac{4}{3}}$