Equations And Inequations Ques 20
I. $2 x^{2}+9 x+9=0$
II. $2 y^{2}+15 y+28=0$
Directions : In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer if
(1) $x<y$
(2) $x>y$
(3) $x \leq y$
(4) $x \geq y$
(5) $\quad x=y$ or the relationship cannot be established
(SIDBI Officer Online Exam.24.02.2016)
Show Answer
Correct Answer: 20.(2)
Solution: (2) I. $2 x^{2}+9 x+9=0$
$\Rightarrow 2 x^{2}+3 x+6 x+9=0$
$\Rightarrow x(2 x+3)+3(2 x+3)=0$
$\Rightarrow(x+3)(2 x+3)=0$
$\Rightarrow x=-3$ or, $\frac{-3}{2}$
II. $2 y^{2}+15 y+28=0$
$\Rightarrow 2 y^{2}+8 y+7 y+28=0$
$\Rightarrow 2 y(y+4)+7(y+4)=0$
$\Rightarrow(y+4)(2 y+7)=0$
$\Rightarrow y=-4$ or, $-\frac{7}{2}$
Clearly, $x>y$
BETA
