Equations And Inequations Ques 168
I. $4 x^{2}+11 x+6=0$
II. $2 y^{2}+11 y+15=0$
Directions : In each of the following questions two equations I and II have been 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 relationship cannot be established between them
(IDBI Officer Grade Exam. 22.08.2014)
Show Answer
Correct Answer: (1)
Solution: (1) I. $4 x^{2}+11 x+6=0$
$\Rightarrow 4 x^{2}+8 x+3 x+6=0$
$\Rightarrow 4 x(x+2)+3(x+2)=0$
$\Rightarrow(x+2)(4 x+3)=0$
$\Rightarrow x=-2$ or $\frac{-3}{4}$
II. $2 y^{2}+11 y+15=0$
$\Rightarrow 2 y^{2}+6 y+5 y+15=0$
$\Rightarrow 2 y(y+3)+5(y+3)=0$
$\Rightarrow(2 y+5)(y+3)=0$
$\therefore y=\frac{-5}{2}$ or -3
Clearly, $x>y$
BETA
