Question

$I.6x^2+77x+121=0$
$II.y^2+9y-22=0$

• A. $x<y$
• B. $x>y$
• C. $x=y$
• D. $x\ge y$
• E. $x\le y$ or no relationship can be established between x and y

Answer 1

The correct option is E $x\le y$ or no relationship can be established between x and y

Equation I
$6x^2+77x+121=0$
$\Rightarrow 6x^2+66x+11x+121=0$
$\Rightarrow 6x(x+11)(x+11)=0$
$\Rightarrow (6x+11)(x+11)=0$
$\therefore x=-11,-\frac{11}{6}$
Equation II
$y^2+9y-22=0$
$\Rightarrow y^2+11y-2y-22=0$
$\Rightarrow y(y+11)-2(y+11)=0$
$\Rightarrow (y-2)(y+11)=0$
$\therefore y=2,-11$
Hence, $x\le y$