Equations And Inequations Ques 45
I. $x^{2}+11 x+18=0$
II. $y^{2}-\sqrt{81}=0$
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
(IBPS Bank PO/MT (Pre.) Exam, 23.10.2016)
Show Answer
Correct Answer: 45.(5)
Solution: (5) I. $x^{2}+11 x+30=0$
$\Rightarrow x^{2}+11 x+18=0$
$\Rightarrow x(x+2)+9(x+2)=0$
$\Rightarrow(x+2)(x+9)=0$
$\Rightarrow x=-2$ or $-9$
II. $y^{2}=\sqrt{81}=9$
$\Rightarrow y=\sqrt{9}= 3$
BETA
