Equations And Inequations Ques 97
I. $2 x^{2}-17 x+35=0$
II. $3 y^{2}-10 y+7=0$
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 $y$ is not determinable.
Show Answer
Correct Answer: 97.(2)
Solution: (2) I. $2 x^{2}-17 x+35=0$
$\Rightarrow 2 x^{2}-10 x-7 x+35=0$
$\Rightarrow 2 x(x-5)-7(x-5)=0$
$\Rightarrow(x-5)(2 x-7)=0$
$\Rightarrow x=5$ or, $\frac{7}{2}$
II. $3 y^{2}-10 y+7=0$
$\Rightarrow 3 y^{2}-3 y-7 y+7=0$
$\Rightarrow 3 y(y-1)-7(y-1)=0$
$\Rightarrow(y-1)(3 y-7)=0$
$\Rightarrow y=1$ or $\frac{7}{3}$
Clearly $x>y$
BETA
