Discussion

Explanation:

x2 + 11x + n = x
⇒ x2 + 10x + n = 0

For roots to be real and distinct, Discriminant > 0

⇒ D = (10)2 - 4 × 1 × n > 0
⇒ 4n < 100
⇒ n < 25

Therefore, highest possible integral value of n is 24.

Hence, 24.

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