Equations And Inequations Ques 71
I. $2 x^{2}+3 x+1=0$
II. $2 y^{2}+9 y+9=0$
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: 71.(3)
Solution: (3) I. $2 x^{2}+3 x+1=0$
$\Rightarrow 2 x^{2}+2 x+x+1=0$
$\Rightarrow 2 x(x+1)+1(x+1)=0$
$\Rightarrow(x+1)(2 x+1)=0$
$\Rightarrow x=-1$ or, $-\frac{1}{2}$
II. $2 y^{2}+9 y+9=0$
$\Rightarrow 2 y^{2}+6 y+3 y+9=0$
$\Rightarrow 2 y(y+3)+3(y+3)=0$
$\Rightarrow(y+3)(2 y+3)=0$
$\Rightarrow y=-3$ or, $-\frac{3}{2}$
Clearly, $x>y$
BETA
