Question

I. $3x^2-22x+7=0$
II. $y^2-20y+91=0$

• A. x > y
• B. $x\ge y$
• C. x < y
• D. $x\le y$
• E. Relationship between x and y cannot be determined

Answer 1

The correct option is B $x\ge y$

I. $3x^2$ - 22x + 7 = 0
$3x^2$ - 21x - x + 7 = 0
x (3x - 1) - 7 (3x - 1) = 0
(3x - 1)(x - 7) = 0
$x=\frac{1}{3}$, 7
II. $y^2$ - 20y + 91 = 0
$y^2$ - 13y - 7y + 91 = 0
y(y - 7) - 13 (y - 7) = 0
(y - 13)(y - 7) = 0
y = 13, 7 $\Rightarrow$ y $\ge$ x