Equations And Inequations Ques 52
I. $3 x^{2}+14 x+15=0$
II. $2 y^{2}+19 y+44=0$
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 CWE (Pre.) 14.11.2016 (Shift-I))
Show Answer
Correct Answer: 52.(1)
Solution: (1) I. $3 x^{2}+14 x+15=0$
$\Rightarrow 3 x^{2}+9 x+5 x+15=0$
$\Rightarrow 3 x(x+3)+5(x+3)=0$
$\Rightarrow(x+3)(3 x+5)=0$
$\Rightarrow x=-3$ or $-\frac{5}{3}$
II. $2 y^{2}+19 y+44=0$
$\Rightarrow 2 y^{2}+8 y+11 y+44=0$
$\Rightarrow 2 y(y+4)+11(y+4)=0$
$\Rightarrow(y+4)(2 y+11)=0$
$\Rightarrow y=-4$ or, $-\frac{11}{2}$
Clearly, $x>y$
BETA
