Equations And Inequations Ques 127
I. $2 x^{2}-21 x+52=0$
II. $2 y^{2}-11 y+12=0$
Directions : In each of the following questions, two equations I and II are given. You have to solve both the equations and give answer
(1) if $x<y$
(2) if $x>y$
(3) if $x \leq y$
(4) if $x \geq y$
(5) if $x=y$ or the relationship between $x$ and $y$ can not be established.
Show Answer
Correct Answer: 127.(4)
Solution: (4) I. $2 x^{2}-8 x-13 x+52=0$
$\Rightarrow 2 x(x-4)-13(x-4)=0$
$\Rightarrow(2 x-13)(x-4)=0$
$\Rightarrow x=\frac{13}{2}=6.5$ or 4
II. $2 y^{2}-8 y-3 y+12=0$
$\Rightarrow 2 y(y-4)-3(y-4)=0$
$\Rightarrow(y-4)(2 y-3)=0$
$\Rightarrow y=4$ or 1.5
BETA
