Equations And Inequations Ques 48
I. $2 x^{2}+13 x+18=0$
II. $5 y^{2}+12 y+4=0$
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: 48.(4)
Solution: (4) I. $2 x^{2}+13 x+18=0$
$\Rightarrow 2 x^{2}+4 x+9 x+18=0$
$\Rightarrow 2 x(x+2)+9(x+2)=0$
$\Rightarrow(2 x+9)(x+2)=0$
$\Rightarrow x=\frac{-9}{2}$ or, -2
II. $5 y^{2}+12 y+4=0$
$\Rightarrow 5 y^{2}+10 y+2 y+4=0$
$\Rightarrow 5 y(y+2)+2(y+2)=0$
$\Rightarrow(y+2)(5 y+2)=0$
$\Rightarrow y=-2$ or, $\frac{-2}{5}$
Clearly $x \leq y$
BETA
