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In the following questions two equations are given. You have to solve the equations and Give answer
I. \( \Large x^{2} \) - x - 6 = 0
II. \( \Large 2y^{2} \) + 13y + 21 = 0
A) x < y
B) x \( \Large \leq \) y
C) x = y
D) x > y
Correct answer:
D) x > y
Description for Correct answer:
I. \( \Large x^{2} \) - x - 6 = 0
=> \( \Large x^{2} \) - 3x + 2x - 6 = 0
=> x ( x - 3 ) + 2 ( x - 3 ) = 0
=> ( x + 2) (x - 3) = 0
=> x = -2 or 3
II. 2\( \Large y^{2} \) + 13y + 21 = 0
=> 2\( \Large y^{2} \) + 7y + 6y + 2l = 0
=> y ( 2y + 7 ) + 3 ( 2y + 7 ) = 0
=> ( y + 3 ) ( 2y + 7 ) = 0
\( \Large \therefore \) y = - 3 or \( \Large \frac{-7}{2} \)
Clearly, x > y
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