Equations And Inequations Ques 17
I. $4 x^{2}+19 x+22=0$
II. $2 y^{2}+11 y+15=0$
Directions : In each of the following questions, two equations numbered I and II are given. You have to solve both the equations and select the appropriate option. give answer If
(1) $x>y$
(2) $x \leq y$
(3) $x \geq y$
(4) $x<y$
(5) Relationship between $x$ and $y$ cannot be established
(IBPS Specialist Officer (IT) CWE 14.02.2016)
Show Answer
Correct Answer: 17.(5)
Solution: (5) I. $4 x^{2}+19 x+22=0$ $\Rightarrow 4 x^{2}+8 x+11 x+22=0$ $\Rightarrow 4 x(x+2)+11(x+2)=0$ $\Rightarrow(x+2)(4 x+11)=0$
$\Rightarrow x=-2$ or $\frac{-11}{4}$
II. $2 y^{2}+11 y+15=0$
$\Rightarrow 2 y^{2}+6 y+5 y+15=0$
$\Rightarrow 2 y(y+3)+5(y+3)=0$
$\Rightarrow(y+3)(2 y+5)=0$
$\Rightarrow y=-3$ or $\frac{-5}{2}$
BETA
