Equations And Inequations Ques 190
I. $2 x^{2}-11 x+14=0$
II. $2 y^{2}-7 y+6=0$
Directions : In each of the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer
(1) if $\quad x \geq y$
(2) if $x \leq y$
(3) if $x>y$
(4) if $x<y$
(5) if $x=y \quad$ or relationship between $x$ and $y$ cannot be established
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015 Ist Sitting)
Show Answer
Correct Answer: 190.(1)
Solution: (1) I. $2 x^{2}-11 x+14=0$
$\Rightarrow 2 x^{2}-4 x-7 x+14=0$
$\Rightarrow 2 x(x-2)-7(x-2)=0$
$\Rightarrow(x-2)(2 x-7)=0$
$\Rightarrow x=2$ or $\frac{7}{2}$
II. $2 y^{2}-7 y+6=0$
$\Rightarrow 2 y^{2}-4 y-3 y+6=0$
$\Rightarrow 2 y(y-2)-3(y-2)=0$
$\Rightarrow(y-2)(2 y-3)=0$
$\Rightarrow y=2$ or $\frac{3}{2}$
Clearly, $x \geq y$
BETA
