Equations And Inequations Ques 134
I. $20 x^{2}+193 x=-210$
II. $2 y^{2}+37 y+171=0$
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: 134.(1)
Solution: (1) I. $20 x^{2}+193 x+210=0$
$\Rightarrow 20 x^{2}+193 x+210=0$
$\Rightarrow 5 x(4 x+5)+42(4 x+5)=0$
$\Rightarrow(5 x+42)(4 x+5)=0$
$\Rightarrow x=\frac{-42}{5}$ or $\frac{-5}{4}$
$=8.4$ or -1.25
II. $2 y^{2}+37 y+171=0$
$\Rightarrow 2 y^{2}+18 y+19 y+171=0$
$\Rightarrow 2 y(y+9)+19(y+9)=0$
$\Rightarrow(y+9)(2 y+19)=0$
$\Rightarrow y=-9$ or $-\frac{19}{2}$
$=-9$ or -9.5
BETA
