Equations And Inequations Ques 7
I. $x^{2}-4 x-12=0$
II. $y^{2}-5 y-14=0$
Directions: In the following questions two equations numbered 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 the relationship between $x$ and $y$ is not determinable.
(IBPS RRBs Officer Scale-I & II CWE 13.09.2015)
Show Answer
Correct Answer: 7.(5)
Solution: (5)
Clearly, $x \geq y$ I. $x^{2}-4 x-12=0$
$\Rightarrow x^{2}-6 x+2 x-12=0$
$\Rightarrow x(x-6)+2(x-6)=0$
$\Rightarrow(x+2)(x-6)=0$
$\Rightarrow x=-2$ or $6$
II. $y^{2}-5 y-14=0$
$\Rightarrow y^{2}-7 y+2 y-14=0$
$\Rightarrow y(y-7)+2(y-7)=0$
$\Rightarrow(y-7)(y+2)=0$
$\Rightarrow y=7$ or $-2$
BETA
