In the following question two equations numbered I and II are given. You have to solve both the equations and -

I. \( \Large x^{2} \) + 11x + 30 = 0

II. \( \Large y^{2} \) + 7y +12 = 0

A) x > y

B) x \( \Large \geq \) y

C) x < y

D) x \( \Large \leq \) y

Correct answer:
C) x < y

Description for Correct answer:
I. \( \Large x^{2} \) + 11x + 30 = 0

=> \( \Large x^{2} \) + 6x + 5x + 30 = 0

=> x ( x + 6 ) + 5 ( x + 6 ) = 0

=> ( x + 5 ) ( x + 6 ) = 0

x = -5 or -6

II. \( \Large y^{2} \) + 7y + 12 = 0

=> \( \Large y^{2} \) + 4y + 3y + 12 = 0

=> y ( y + 4 ) + 3 ( y + 4 ) = 0

=> ( y + 3 ) ( y + 4 ) = 0

\( \Large \therefore \) y = -3 or -4

Clearly, x < y

Please provide the error details in above question

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