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CGP EDU Academic Team
Published on: August 13, 2026
The number of the integral solutions of x 2 + 9 < (x + 3) 2 < 8x + 25 is :
Text Solution
Verified by ExpertsThe correct answer is:
D
x 2 + 9 < (x + 3) 2 < 8x + 25
⇒ (x + 3) 2 > x 2 + 9 ⇒ x > 0 .......(i)
and (x + 3) 2 < 8x + 25
⇒ x 2 – 2x – 16 < 0
⇒ x ∈ (1 – 
, 1 + 
) .....(ii)
(i) ∩ (ii) ⇒ x ∈ (0, 1 + 
)
Noumber of integers = 5
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