Equations And Inequations Ques 151
I. $6 x^{2}+77 x+121=0$
II. $y^{2}+9 y-22=0$
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: (5)
Solution: (5) I. $6 x^{2}+77 x+121=0$
$\Rightarrow 6 x^{2}+66 x+11 x+121=0$
$\Rightarrow 6 x(x+11)+11(x+11)=0$
$\Rightarrow(x+11)(6 x+11)=0$
$\Rightarrow x=-11$ or $-\frac{11}{6}$
II. $y^{2}+11 y-2 y-22=0$
$\Rightarrow y(y+11)-2(y+11)=0$
$\Rightarrow(y-2)(y+11)=0$
BETA
