Equations And Inequations Ques 18
I. $x^{2}+8 x+15=0$
II. $y^{2}+3 y+2=0$
Directions : In each of the following questions, two equations numbered I and II are given. You have to solve both the equations and select the appropriate option. give answer If
(1) $x>y$
(2) $x \leq y$
(3) $x \geq y$
(4) $x<y$
(5) Relationship between $x$ and $y$ cannot be established
(IBPS Specialist Officer (IT) CWE 14.02.2016)
Show Answer
Correct Answer: 18.(4)
Solution: (4) I. $x^{2}+8 x+15=0$
$\Rightarrow x^{2}+5 x+3 x+15=0$
$\Rightarrow x(x+5)+3(x+5)=0$
$\Rightarrow(x+5)(x+3)=0$
$\Rightarrow x=-5$ or -3
II. $y^{2}+3 y+2=0$
$\Rightarrow y^{2}+y+2 y+2=0$
$\Rightarrow y(y+1)+2(y+1)=0$
$\Rightarrow(y+1)(y+2)=0$
$\Rightarrow y=-1$ or -2
Clearly, $x<y$
BETA
