Equations And Inequations Ques 15
I. $4 x^{2}-8 x+3=0$
II. $4 y^{2}-15 y+14=0$
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: 15.(4)
Solution: (4) I. $4 x^{2}-8 x+3=0$
$\Rightarrow 4 x^{2}-2 x-6 x+3=0$
$\Rightarrow 2 x(2 x-1)-3(2 x-1)=0$
$\Rightarrow(2 x-3)(2 x-1)=0$
$\Rightarrow x=\frac{3}{2}$ or $\frac{1}{2}$
II. $4 y^{2}-15 y+14=0$
$\Rightarrow 4 y^{2}-8 y-7 y+14=0$
$\Rightarrow 4 y(y-2)-7(y-2)=0$
$\Rightarrow(y-2)(4 y-7)=0$
$\Rightarrow y=2$ or $\frac{7}{4}$
Clearly, $x<y$
BETA
