Equations And Inequations Ques 31
I. $x^{2}-9 x+18=0$
II. $5 y^{2}-22 y+24=0$
Directions : In these questions two equations numbered I and II are given. You have to solve both the equations and give answer
(1) if $x<y$
(2) if $x>y$
(3) if $x<y$
(4) if $\quad x \geq y$
(5) if $x=y$ or relationship between $x$ and $y$ cannot be established
(IBPS Bank PO/MT CWE (Pre.), 16.10.2016 (First Sitting)
Show Answer
Correct Answer: 31.(2)
Solution: (2) I. $x^{2}-9 x+18=0$
$\Rightarrow x^{2}-3 x-6 x+18=0$
$\Rightarrow x(x-3)-6(x-3)=0$
$\Rightarrow(x-3)(x-6)=0$
$\Rightarrow x=3$ or 6
II. $5 y^{2}-22 y+24=0$
$\Rightarrow 5 y^{2}-10 y-12 y+24=0$
$\Rightarrow 5 y(y-2)-12(y-2)=0$
$\Rightarrow(y-2)(5 y-12)=0$
$\Rightarrow y=2$ or $\frac{12}{5}$
Clearly, $x>y$
BETA
