Number of integral values of b for which the equation = b …

Maths Quadratic Equations Mix Numeric Response

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Number of integral values of b for which the equation = b has 3 distinct solution is …...

Text Solution

Verified by Experts

The correct answer is:

(1)

Sol. f(x) = –x – b

f ′ (x) = x 2 –1 = 0

x = ± 1

f(1) f(–1) < 0 for 3 distinct solutions

⇒ (b + 2/3) (b – 2/3) < 0

⇒ b ∈ (–2/3, 2/3)

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