Equations And Inequations Ques 23
I. $2 x^{2}+19 x+44=0$
II. $2 y^{2}+7 y+3=0$
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: 23.(1)
Solution: (1) I. $2 x^{2}+19 x+44=0$
$\Rightarrow 2 x^{2}+8 x+11 x+44=0$
$\Rightarrow 2 x(x+4)+11(x+4)=0$
$\Rightarrow(x+4)(2 x+11)=0$
$\Rightarrow x=-4$ or, $\frac{-11}{2}$
II. $2 y^{2}+7 y+3=0$
$\Rightarrow 2 y^{2}+y+6 y+3=0$
$\Rightarrow y(2 y+1)+3(2 y+1)=0$
$\Rightarrow(y+3)(2 y+1)=0$
$\Rightarrow y=-3$ or, $-\frac{1}{2}$
Clearly, $x<y$
BETA
