Equations And Inequations Ques 24
I. $x^{2}+7 x+12=0$
II. $2 y^{2}+17 y+35=0$
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) $x>y$
(3) $x \leq y$
(4) $x \geq y$
(5) $\quad x=y$ or the relationship cannot be established
(SIDBI Officer Online Exam.24.02.2016)
Show Answer
Correct Answer: 24.(5)
Solution: (5) I. $x^{2}+7 x+12=0$
$\Rightarrow x^{2}+4 x+3 x+12=0$
$\Rightarrow x(x+4)+3(x+4)=0$
$\Rightarrow(x+3)(x+4)=0$
$\Rightarrow x=-3$ or, -4
II. $2 y^{2}+17 y+35=0$
$\Rightarrow 2 y^{2}+10 y+7 y+35=0$
$\Rightarrow 2 y(y+5)+7(y+5)=0$
$\Rightarrow(2 y+7)(y+5)=0$
$\Rightarrow y=-5$ or, $-\frac{7}{2}$
BETA
