Equations And Inequations Ques 35
I. $15 x^{2}-11 x+2=0$
II. $10 y^{2}-9 y+2=0$
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: 35.(3)
Solution: (3) I. $15 x^{2}-11 x+2=0$
$\Rightarrow 15 x^{2}-5 x-6 x+2=0$
$\Rightarrow 5 x(3 x-1)-2(3 x-1)=0$
$\Rightarrow(3 x-1)(5 x-2)=0$
$\Rightarrow x=\frac{1}{3}$ or $\frac{2}{5}$
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, $x \leq y$
BETA
