Directions (32-36) : In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option.
Give answer :
(1) \( x \le y \)
(2) \( x \ge y \)
(3) Relationship between X and y cannot be established
(4) x < y
(5) x > y 

I.\( 5x^{2} + 8x +3 = 0 \)
II. \( 3y^{2} + 7y +4 = 0 \)


A) \( x \le y \)

B) \( x \ge y \)

C) Relationship between X and y cannot be established

D) x < y

E) x > y

Correct answer:
B) \( x \ge y \)

Description for Correct answer:
I. \( \large 5x^{2} + 8x + 3 = 0 \)

\( \large 5x^{2} + 5x + 3x + 3 = 0 \)

\( \large 5x(x + 1) + 3(x + 1) = 0 \)

\( \large(x + 1)(5x + 3)= 0 \)

\( \large x = -1,- \frac{3}{5} \)

II. \( \large 3y^{2} + 7y + 4 = 0\)

\( \large 3y^{2} + 4y + 3y + 4 = 0\)

\( \large y(3y + 4) + 1(3y + 4) = 0\)

\( \large (3y + 4) (y+ 1) = 0 \)

\( \large y = -\frac{4}{3}, -1 \)

So \( \large x \ge y \)


Please provide the error details in above question