Equations And Inequations Ques 153
I. $10 x^{2}-7 x+1=0$
II. $35 y^{2}-12 y+1=0$
Directions : In each of the following questions, two equations are given. You have to solve these equations and give answer If
(1) $x<y$
(2) $x>y$
(3) $x=y$
(4) $x \geq y$
(5) $x \leq y$
(IBPS Bank PO/MT CWE-III 26.10 .2013 )
Show Answer
Correct Answer: (4)
Solution: (4) I. $10 x^{2}-7 x+1=0$
$\Rightarrow 10 x^{2}-5 x-2 x+1=0$
$\Rightarrow 5 x(2 x-1)-1(2 x-1)=0$ $\Rightarrow(5 x-1)(2 x-1)=0$
$\Rightarrow x=\frac{1}{5}$ or $\frac{1}{2}$
II. $35 y^{2}-12 y+1=0$
$\Rightarrow 35 y^{2}-7 y-5 y+1=0$
$\Rightarrow 7 y(5 y-1)-1(5 y-1)=0$
$\Rightarrow(7 y-1)(5 y-1)=0$
$\Rightarrow x=\frac{1}{7}$ or $\frac{1}{5}$
Clearly, $x \geq y$
BETA
