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In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer
I.\( \Large 2x^{2} \) + 11x + 14 = 0
II.\( \Large 4y^{2} \) + 12y + 9 = 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:
\( \Large 2x^{2} \) + 7x + 4x + 14 = 0
=> x ( 2x + 7 ) + 2 ( 2x + 7 ) = 0
=> ( x + 2 )( 2x + 7 ) = 0
=> x = -2 or -\( \Large \frac{7}{2} \)
II. 4\( \Large y^{2} \) + 2.2y.3 + 9 = 0
=> \( \Large ( 2y + 3 )^{2} \) = 0
=> 2y + 3 = 0
\( \Large \therefore y = -\frac{3}{2} \)
Clearly, x < y
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