Equations And Inequations Ques 74
I. $2 x^{2}+13 x+21=0$
II. $2 y^{2}+9 y+10=0$
Directions : In each of the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer
(1) if $x \geq y$
(2) if $x \leq y$
(3) if $x>y$
(4) if $x<y$
(5) if relationship between $x$ and $y$ cannot be established
(IBPS SO (Agriculture) Exam, 29.01.2017)
Show Answer
Correct Answer: 74.(4)
Solution: (4) I. $2 x^{2}+13 x+21=0$
$\Rightarrow 2 x^{2}+6 x+7 x+21=0$
$\Rightarrow 2 x(x+3)+7(x+3)=0$
$\Rightarrow(x+3)(2 x+7)=0$
$\Rightarrow x=-3$ or, $-\frac{7}{2}$
II. $2 y^{2}+9 y+10=0$
$\Rightarrow 2 y^{2}+4 y+5 y+10=0$
$\Rightarrow 2 y(y+2)+5(y+2)=0$
$\Rightarrow(y+2)(2 y+5)=0$
$\Rightarrow y=-2$ or, $-\frac{5}{2}$
Clearly, $x<y$
BETA
