Equations And Inequations Ques 19
I. $x^{2}-8 x+15=0$
II. $y^{2}-7 y+10=0$
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) $\quad x=y$ or the relationship cannot be established
(SIDBI Officer Online Exam.24.02.2016)
Show Answer
Correct Answer: 19.(5)
Solution: (5) I. $x^{2}-8 x+15=0$
$\Rightarrow x^{2}-5 x-3 x+15=0$
$\Rightarrow x(x-5)-3(x-5)=0$
$\Rightarrow(x-3)(x-5)=0$
$\Rightarrow x=3$ or, 5
II. $y^{2}-7 y+10=0$
$\Rightarrow y^{2}-5 y-2 y+10=0$
$\Rightarrow y(y-5)-2(y-5)=0$
$\Rightarrow(y-2)(y-5)=0$
$\Rightarrow y=2$ or, 5
BETA
