Equations And Inequations Ques 177
I. $6 x^{2}-29 x+35=0$
II. $3 y^{2}-11 y+10=0$
Directions : In the following questions, two equations I and II have been given. You have to solve both equations and give answer if
(1) $x>y$
(2) $x \geq y$
(3) $x<y$
(4) $x \leq y$
(5) $x=y$ or the relation cannot be established.
(IBPS RRBs Officer Scale-I CWE, 06.09.2014)
Show Answer
Correct Answer: 177.(1)
Solution: (1) I. $6 x^{2}-29 x+35=0$ $\Rightarrow 6 x^{2}-15 x-14 x+35=0$ $\Rightarrow 3 x(2 x-5)-7(2 x-5)=0$ $\Rightarrow(3 x-7)(2 x-5)=0$
$\Rightarrow x=\frac{7}{3}$ or $\frac{5}{2}$
II. $3 y^{2}-11 y+10=0$
$\Rightarrow 3 y^{2}-6 y-5 y+10=0$
$\Rightarrow 3 y(y-2)-5(y-2)=0$
$\Rightarrow(3 y-5)(y-2)=0$
$\Rightarrow y=\frac{5}{3}$ or 2
Clearly, $x>y$
BETA
