Equations And Inequations Ques 158
I. $x^{2}+17 x+72=0$
II. $y^{2}+19 y+90=0$
Directions : In each of the following questions equation I and equation II have been given. You have to solve both of these equations and give answer If
(1) $x<y$
(2) $x>y$
(3) $x \leq y$
(4) $x \geq y$
(5) $x=y$ or no relation between two can be established.
(Corporation Bank Specialist Officer (Marketing) Exam. 22.02.2014)
Show Answer
Correct Answer: (4)
Solution: (4) I. $x^{2}+17 x+72=0$
$\Rightarrow x^{2}+8 x+9 x+72=0$
$\Rightarrow x(x+8)+9(x+8)=0$
$\Rightarrow(x+9)(x+8)=0$
$\Rightarrow x=-9$ or -8
II. $y^{2}+19 y+90=0$
$\Rightarrow y^{2}+10 y+9 y+90=0$
$\Rightarrow y(y+10)+9(y+10)=0$
$\Rightarrow(y+9)(y+10)=0$
$\Rightarrow y=-9$ or -10
Clearly, $x \geq y$
BETA
