The roots of (x –1) 2 –4 |x –1| + 3 = 0 form

Maths Quadratic Equations Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

In A.P.

In G.P.

In H.P.

None of these

Text Solution

Verified by Experts

The correct answer is:

|x + 1| 2 –4 |x –1| + 3 = 0

Put |x – 1| = t

t 2 – 4t + 3 = 0 ⇒ t = 1, 3

⇒ |x –1| = 1, 3 ⇒ x = 0, 2, –2, 4

Hence the roots form an A.P.

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