Directions: In the following questions are given. You have to solve both the equations and find the relation between 'x' and 'y' and mark the correct answer. I. y² - 18y + 65 = 0 II. x² - 26x + 169 = 0

if x > y
if x ≥ y
if x < y
if x ≤ y

Correct answer: if x ≥ y

Solution

y²-18y+65=0 → (y-5)(y-13)=0 → y=5 or y=13. x²-26x+169=0 → (x-13)²=0 → x=13 (only solution). When y=5: x(13)>y(5)→x>y. When y=13: x(13)=y(13)→x=y. Combined: x≥y.

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