Equations And Inequations Ques 73
I. $x^{2}-8 x+15=0$
II. $y^{2}-11 y+28=0$
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 $x \geq y$
(2) if $x \leq y$
(3) if $x>y$
(4) if $x<y$
(5) if relationship between $x$ and $y$ cannot be established
(IBPS SO (Agriculture) Exam, 29.01.2017)
Show Answer
Correct Answer: 73.(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, 3
II. $y^{2}-11 y+28=0$
$\Rightarrow y^{2}-4 y-7 y+28=0$
$\Rightarrow y(y-4)-7(y-4)=0$
$\Rightarrow(y-4)(y-7)=0$
$\Rightarrow y=4$ or, 7
BETA
