Equations And Inequations Ques 129

I. $3 x^{2}+5 x+2=0$

II. $y=\sqrt{81}$

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 $x>y$

(2) If $x \geq y$

(3) If $x<y$

(4) If $x \leq y$

(5) If $x=y$ or no relationship can be established between $x$ and $y$

(IBPS RRBs Officer CWE Prelim Exam, 31.12.2020)

Show Answer

Correct Answer: 129.(3)

Solution: (3) I. $3 x^{2}+5 x+2=0$

$\Rightarrow 3 x^{2}+3 x+2 x+2=0$

$\Rightarrow 3 x(x+1)+2(x+1)=0$

$\Rightarrow(3 x+2)(x+1)=0$

$\Rightarrow x=-0.67$ or -1

II. $y=\sqrt{81}=9$