Equations And Inequations Ques 104
I. $5 x^{2}-18 x+9=0$
II. $3 y^{2}+5 y-2=0$
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) $x \geq y$
(3) $x<y$
(4) $x \leq y$
(5) $x=y$ or the relationship cannot be estab lished
(Allahabad Bank PO Exam. 17.04.2011)
Show Answer
Correct Answer: (1)
Solution: (1) I. $5 x^{2}-18 x+9=0$
$\Rightarrow 5 x^{2}-15 x-3 x+9=0$
$\Rightarrow 5 x(x-3)-3(x-3)=0$
$\Rightarrow(5 x-3)(x-3)=0$
$\Rightarrow x=\frac{3}{5}$ or 3
II. $3 y^{2}+5 y-2=0$
$\Rightarrow 3 y^{2}+6 y-y-2=0$ $\Rightarrow 3 y(y+2)-1(y+2)=0$
$\Rightarrow(3 y-1)(y+2)=0$
$\Rightarrow y=\frac{1}{3}$ or -2
Clearly, $x>y$
BETA
