For the two given equations I and II.

I. \( \Large p^{2} \) + p = 56

II. \( \Large q^{2} \) - 17 q + 72 = 0

A) p is greater than q

B) p is smaller than q.

C) p is equal to q.

D) p is either equal to or greater than q.

Correct answer:
B) p is smaller than q.

Description for Correct answer:
I. => \( \Large p^{2} \) + p - 56 = 0

=> \( \Large p^{2} \) + 8p - 7p - 56 = 0

=> p ( p + 8 ) - 7 ( p + 8 ) = 0

=> ( p + 8 ) ( p - 7 ) = 0

=> p = 7 or - 8

II. => \( \Large q^{2} \) - 8q - 9q + 72 = 0

=> q ( q - 8 ) - 9 ( q - 8 ) = 0

=> ( q - 8 ) ( q - 9 ) = 0

=> q = 8 or 9

Obviously, p < q

Please provide the error details in above question

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