Equations And Inequations Ques 43
I. $7 x^{2}+12 x+5=0$
II. $3 y^{2}+7 y+2=0$
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
(IBPS Bank PO/MT (Pre.) Exam, 23.10.2016)
Show Answer
Correct Answer: 43.(5)
Solution: (5) I. $7 x^{2}+12 x+5=0$
$\Rightarrow 7 x^{2}+7 x+5 x+5=0$
$\Rightarrow 7 x(x+1)+5(x+1)=0$
$\Rightarrow(x+1)(7 x+5)=0$
$\Rightarrow x=-1$ or, $-\frac{5}{7}$
II. $3 y^{2}+7 y+2=0$
$\Rightarrow 3 y^{2}+6 y+y+2=0$
$\Rightarrow 3 y(y+2)+1(y+2)=0$
$\Rightarrow(y+2)(3 y+1)=0$
$\Rightarrow y=-2$ or, $-\frac{1}{3}$
BETA
