Equations And Inequations Ques 14
I. $3 x^{2}-13 x+14=0$
II. $2 y^{2}-5 y+3=0$
Directions : In each of the following questions, two equations numbered I and II are given. You have to solve both the equations and select the appropriate option. give answer If
(1) $x>y$
(2) $x \leq y$
(3) $x \geq y$
(4) $x<y$
(5) Relationship between $x$ and $y$ cannot be established
(IBPS Specialist Officer (IT) CWE 14.02.2016)
Show Answer
Correct Answer: 14.(1)
Solution: (1) I. $3 x^{2}-13 x+14=0$
$\Rightarrow 3 x^{2}-6 x-7 x+14=0$
$\Rightarrow 3 x(x-2)-7(x-2)=0$
$\Rightarrow(3 x-7)(x-2)=0$
$\Rightarrow x=\frac{7}{3}$ or 2
II. $2 y^{2}-5 y+3=0$
$\Rightarrow 2 y^{2}-2 y-3 y+3=0$
$\Rightarrow 2 y(y-1)-3(y-1)=0$
$\Rightarrow(y-1)(2 y-3)=0$
$\Rightarrow y=1$ or $\frac{3}{2}$
Clearly, $x>y$
BETA
