Equations And Inequations Ques 180
I. $x^{2}-5 x-24=0$
II. $y^{2}-7 y-18=0$
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) $x>$
(2) $\quad x \geq y$
(3) $x<y$
(4) $x \leq y$
(5) $\quad x=y$ or the relationship cannot be established
(IBPS Bank PO/MT CWE-IV 18.10.2014)
Show Answer
Correct Answer: 180.(3)
Solution: (3) I. $x^{2}-5 x-24=0$
$\Rightarrow x^{2}-8 x+3 x-24=0$
$\Rightarrow x(x-8)+3(x-8)=0$
$\Rightarrow(x+3)(x-8)=0$
$\Rightarrow x=-3$ or 8
II. $y^{2}-7 y-18=0$
$\Rightarrow y^{2}-9 y+2 y-18=0$
$\Rightarrow y(y-9)+2(y-9)=0$
$\Rightarrow(y+2)(y-9)=0$
$\Rightarrow y=-2$ or 9
Clearly, $x<y$
BETA
