Equations And Inequations Ques 47
I. $6 x^{2}-11 x+4=0$
II. $2 y^{2}-7 y+6=0$
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: 47.(3)
Solution: (3) I. $6 x^{2}-11 x+4=0$
$\Rightarrow 6 x^{2}-3 x-8 x+4=0$
$\Rightarrow 3 x(2 x-1)-4(2 x-1)=0$
$\Rightarrow(2 x-1)(3 x-4)=0$
$\Rightarrow x=\frac{1}{2}$ or, $\frac{4}{3}$
II. $2 y^{2}-7 y+6=0$
$\Rightarrow 2 y^{2}-4 y-3 y+6=0$
$\Rightarrow 2 y(y-2)-3(y-2)=0$
$\Rightarrow(2 y-3)(y-2)=0$
$\Rightarrow y=\frac{3}{2}$ or, 2
Clearly $x<y$
BETA
