Equations And Inequations Ques 87
I. $x^{2}+8 x+15=0$
II. $y^{2}=49$
Directions : In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer If
(1) $x<y$
(2) $x>y$
(3) $x \leq y$
(4) $x \geq y$
(5) $x=y$ or the relationship cannot be established
Show Answer
Correct Answer: 87.(5)
Solution: (5) I. $x^{2}+8 x+15=0$
$\Rightarrow x^{2}+3 x+5 x+15=0$
$\Rightarrow x(x+3)+5(x+3)=0$
$\Rightarrow(x+5)(x+3)=0$
$\Rightarrow x=-5$ or $x=-3$
II. $y^{2}=49 \Rightarrow y=\sqrt{49}= \pm 7$
BETA
