Equations And Inequations Ques 46
I. $x^{2}-11 x+24=0$
II. $y^{2}-14 y+45=0$
Directions : In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.
(1) if $x>y$
(2) if $x \geq y$
(3) if $x<y$
(4) if $x \leq y$
(5) if $x=y$ or relationship between $x$ and $y$ cannot be established.
(Bank of Maharashtra PO Exam, 26.10.2016)
Show Answer
Correct Answer: 46.(5)
Solution: (5) I. $x^{2}-11 x+24=0$
$\Rightarrow x^{2}-3 x-8 x+24=0$
$\Rightarrow x(x-3)-8(x-3)=0$
$\Rightarrow(x-8)(x-3)=0$
$\Rightarrow x=8$ or, 3
II. $y^{2}-14 y+45=0$
$\Rightarrow y^{2}-5 y-9 y+45=0$
$\Rightarrow y(y-5)-9(y-5)=0$
$\Rightarrow(y-5)(y-9)=0$
$\Rightarrow y=5$ or, 9
BETA
