Equations And Inequations Ques 80
I. $2 x^{2}+15 x+28=0$
II. $2 y^{2}+13 y+21=0$
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: 80.(4)
Solution: (4) I. $2 x^{2}+15 x+28=0$
$\Rightarrow 2 x^{2}+8 x+7 x+28=0$
$\Rightarrow 2 x(x+4)+7(x+4)=0$
$\Rightarrow(x+4)(2 x+7)=0$
$\Rightarrow x=-4$ or, $\frac{-7}{2}$
II. $2 y^{2}+13 y+21=0$
$\Rightarrow 2 y^{2}+6 y+7 y+21=0$
$\Rightarrow 2 y(y+3)+7(y+3)=0$
$\Rightarrow(y+3)(2 y+7)=0$
$\Rightarrow y=-3$ or, $\frac{-7}{2}$
Clearly, $x \leq y$
BETA
