Equations And Inequations Ques 82
I. $2 x^{2}+11 x+5=0$
II. $y^{2}+12 y+35=0$
Directions : In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer
(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 $y$ cannot be established.
Show Answer
Correct Answer: 82.(2)
Solution: (2) I. $2 x^{2}+11 x+5=0$
$\Rightarrow 2 x^{2}+x+10 x+5=0$
$\Rightarrow x(2 x+1)+5(2 x+1)=0$
$\Rightarrow(x+5)(2 x+1)=0$
$\Rightarrow x=-5$ or, $-\frac{1}{2}$
II. $y^{2}+12 y+35=0$
$\Rightarrow y^{2}+5 y+7 y+35=0$
$\Rightarrow y(y+5)+7(y+5)=0$
$\Rightarrow(y+5)(y+7)=0$
$\Rightarrow y=-5$ or, -7
Clearly, $x \geq y$
BETA
