Equations And Inequations Ques 157
I. $20 x^{2}+9 x+1=0$
II. $30 y^{2}+11 y+1=0$
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: (3)
Solution: (3) I. $20 x^{2}+9 x+1=0$
$\Rightarrow 20 x^{2}+5 x+4 x+1=0$
$\Rightarrow 5 x(4 x+1)+1(4 x+1)=0$
$\Rightarrow(4 x+1)(5 x+1)=0$ $\Rightarrow x=-\frac{1}{4}$ or $-\frac{1}{5}$
II. $30 y^{2}+11 y+1=0$
$\Rightarrow 30 y^{2}+6 y+5 y+1=0$
$\Rightarrow 6 y(5 y+1)+1(5 y+1)=0$
$\Rightarrow(5 y+1)(6 y+1)=0$
$\Rightarrow y=-\frac{1}{5}$ or $-\frac{1}{6}$
Clearly, $x \leq y$
BETA
