Equations And Inequations Ques 51
I. $2 x^{2}-9 x+9=0$
II. $2 y^{2}-11 y+14=0$
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: 51.(5)
Solution: (5) I. $2 x^{2}-9 x+9=0$
$\Rightarrow 2 x^{2}-6 x-3 x+9=0$
$\Rightarrow 2 x(x-3)-3(x-3)=0$
$\Rightarrow(x-3)(2 x-3)=0$
$\Rightarrow x=3$ or, $\frac{3}{2}$
II. $2 y^{2}-11 y+14=0$
$\Rightarrow 2 y^{2}-4 y-7 y+14=0$
$\Rightarrow 2 y(y-2)-7(y-2)=0$
$\Rightarrow(2 y-7)(y-2)=0$
$\Rightarrow y=\frac{7}{2}$ or, 2
BETA
