Equations And Inequations Ques 132
I. $2 x^{2}-40 x+175.5=0$
II. $y^{2}-18.5 y+75=0$
Directions : In each of the following question, there are two equations I and II given. You have to solve the equations in each question and choose the correct answer that represents appropriate relationship between the values from the codes given below:
(1) if $x>y$
(2) if $x>y$
(3) if $x<y$
(4) if $x<y$
(5) if $x=y$ or no relation can be established between $x$ and $y$.
Show Answer
Correct Answer: 132.(5)
Solution: (5) I. $2 x^{2}-40 x+175.5=0$
$\Rightarrow 2 x^{2}-40 x-175.5=0$
$\Rightarrow 2 x(x-13.5)-13(x-13.5)=$ 0
$\Rightarrow(2 x-13)(x-13.5)=0$
$\Rightarrow x=6.5$ or 13.5
II. $y^{2}-18.5 y+75=0$
$\Rightarrow y^{2}-12.5 y-6 y+75=0$
$\Rightarrow y(y-12.5)-6(y-12.5)=0$
$\Rightarrow(x-12.5)(x-6)=0$
$\Rightarrow x=12.5$ or 6
BETA
