The real roots of the equation = x–1 are-

Maths Logarithms, Indices and Surds, Partial Fraction Indices and Surds Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

1 and 2

2 and 3

3 and 4

4 and 5

Text Solution

Verified by Experts

The correct answer is:

Since = x ∀ a > 0 and a ≠ 1

Here x 2 –4x + 5 > 0

⇒ x > 0 x ∈ R because D = 16 – 20 < 0

We have x 2 – 4x + 5 = x –1

⇒ x 2 –5x + 6 = 0 ⇒ x = 2 and 3

Hence correct choice is

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