Equations And Inequations Ques 131
I. $9 x^{2}+32 x+15=0$
II. $4 y^{2}-17 y-42=0$
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: 131.(3)
Solution: (3) I. $9 x^{2}+32 x+15=0$
$\Rightarrow 9 x^{2}+27 x+5 x+15=0$
$\Rightarrow 9 x(x+3)+5(x+3)=0$
$\Rightarrow(9 x+5)(x+3)=0$
$\Rightarrow x=-3$ or $x=-\frac{5}{9}$ or $x=-0.55$
II. $4 y^{2}-17 y-42=0$
$\Rightarrow 4 y^{2}-24 y+7 y-42=0$
$\Rightarrow 4 y(y-6)+7(y-6)=0$
$\Rightarrow(4 y+7)(y-6)=0$
$\Rightarrow y=6$ or $-\frac{7}{4}\neq6$ or -1.75
BETA
