Question

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² – 16x + 55 = 0

II. y² – 17y + 52 = 0

1.

x > y

2.

x ≥ y

3.

x < y

4.

x ≤ y

5.

x = y or relationship between x and y cannot be established

Answer 1

Correct Answer - Option 5 :

x = y or relationship between x and y cannot be established

Calculation:

I. x2 – 16x + 55 = 0

⇒ x2 – 11x – 5x + 55 = 0

⇒ x(x – 11) – 5(x – 11) = 0 

⇒ (x – 11) (x – 5) = 0

⇒ x = 11, 5

II. y2 – 17y + 52 = 0

⇒ y2 – 13y – 4y + 52 = 0

⇒ y(y – 13) – 4(y – 13) = 0

⇒ (y – 13) (y – 4) = 0

⇒ y = 13, 4

Comparison between x and y (via tabulation):

X	Y	Relation
11	13	x < y
11	4	x > y
5	13	x < y
5	4	x > y

 

∴ The relation between x and y cannot be determined.