Equations And Inequations Ques 1
I. $x^{2}-7 x+12=0$
II. $2 y^{2}-19 y+44=0$
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 $\quad x \geq y$
(2) if $x \leq y$
(3) if $x>y$
(4) if $x<y$
(5) if $x=y \quad$ or relationship between $x$ and $y$ cannot be established
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015 Ist Sitting)
Show Answer
Correct Answer: 1.(2)
Solution: (2) I. $x^{2}-7 x+12=0$
$\Rightarrow x^{2}-4 x-3 x+12=0$
$\Rightarrow x(x-4)-3(x-4)=0$
$\Rightarrow(x-3)(x-4)=0$
$\Rightarrow x=3$ or 4
II. $2 y^{2}-19 y+44=0$
$\Rightarrow 2 y^{2}-8 y-11 y+44=0$
$\Rightarrow 2 y(y-4)-11(y-4)=0$
$\Rightarrow(y-4)(2 y-11)=0$
$\Rightarrow y=4$ or $\frac{11}{2}$
Clearly, $x \leq y$
BETA
