Equations And Inequations Ques 95
I. $5 x^{2}-11 x+2=0$
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
(1) if $x>y$
(2) if $x \geq y$
(3) if $x<y$
(4) if $x \leq y$
(5) if $x=y$ or the relationship between $x$ and $y$ cannot be established.
Show Answer
Correct Answer: 95.(5)
Solution: (5) I. $5 x^{2}-11 x+2=0$
$\Rightarrow 5 x^{2}-10 x-x+2=0$
$\Rightarrow 5 x(x-2)-1(x-2)=0$
$\Rightarrow(x-2)(5 x-1)=0$
$\Rightarrow x=2$ or, $\frac{1}{5}$
II. $3 y^{2}-5 y+2=0$
$\Rightarrow 3 y^{2}-3 y-2 y+2=0$
$\Rightarrow 3 y(y-1)-2(y-1)=0$
$\Rightarrow(y-1)(3 y-2)=0$
$\Rightarrow y=1$ or, $\frac{2}{3}$
BETA
