Equations And Inequations Ques 184
I. $2 x^{2}+19 x+45=0$
II. $2 y^{2}+11 y+12=0$
(1) $x>y $
(2) $x \geq y$
(3) $x<y$
(4) relationship between $x$ and $y$ cannot be determined
(5) $x \leq y$
Show Answer
Correct Answer: 184.(3)
Solution: (3) I. $2 x^{2}+19 x+45=0$
$\Rightarrow 2 x^{2}+10 x+9 x+45=0$
$\Rightarrow 2 x(x+5)+9(x+5)=0$
$\Rightarrow(2 x+9)(x+5)=0$
$\Rightarrow x=-\frac{9}{2}$ or, -5
II. $2 y^{2}+11 y+12=0$
$\Rightarrow 2 y^{2}+3 y+8 y+12=0$
$\Rightarrow y(2 y+3)+4(2 y+3)=0$
$\Rightarrow(y+4)(2 y+3)=0$
$\Rightarrow y=-4$ or, $\frac{-3}{2}$
Clearly, $x<y$
BETA
