Equations And Inequations Ques 172
I. $4 x^{2}-15 x-46=0$
II. $6 y^{2}+35 y+46=0$
Directions : In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer If
(1) $x>y$
(2) $x \geq y$
(3) $x<y$
(4) $x \leq y$
(5) $\quad x=y$ or the relationship cannot be established
(SIDBI Bank Officer Exam. 09.09.2014)
Show Answer
Correct Answer: (2)
Solution: (2) I. $4 x^{2}-15 x-46=0$
$\Rightarrow 4 x^{2}-23 x+8 x-46=0$
$\Rightarrow x(4 x-23)+2(4 x-23)=0$
$\Rightarrow(x+2)(4 x-23)=0$
$\Rightarrow x=-2$ or $\frac{23}{4}$
II. $6 y^{2}+35 y+46=0$
$\Rightarrow 6 y^{2}+23 y+12 y+46=0$
$\Rightarrow y(6 y+23)+2(6 y+23)=0$
$\Rightarrow(y+2)(6 y+23)=0$
$\Rightarrow y=-2$ or $\frac{-23}{6}$
Clearly, $x \geq y$
BETA
