Equations And Inequations Ques 9
I. $25 x^{2}+35 x+12=0$
II. $10 y^{2}+9 y+2=0$
Directions : In the following 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 $x \geq y$
(3) if $x<y$
(4) if $x \leq y$
(5) if $x=y$ or the relationship between $x$ and $y$ cannot be established.
(IBPS RRBs Officer Scale-I & II CWE 13.09.2015)
Show Answer
Correct Answer: 9.(3)
Solution: (3) I. $25 x^{2}+35 x+12=0$
$\Rightarrow 25 x^{2}+15 x+20 x+12=0$
$\Rightarrow 5 x(5 x+3)+4(5 x+3)=0$
$\Rightarrow(5 x+4)(5 x+3)=0$
$\Rightarrow x=-\frac{4}{5}$ or, $-\frac{3}{5}$
II. $10 y^{2}+9 y+2=0$
$\Rightarrow 10 y^{2}+5 y+4 y+2=0$
$\Rightarrow 5 y(2 y+1)+2(2 y+1)=0$
$\Rightarrow(2 y+1)(5 y+2)=0$
$\Rightarrow y=-\frac{1}{2}$ or, $-\frac{2}{5}$
Clearly, $x<y$
BETA
