Question

In the given questions, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer

I. x² – 6x + 8 = 0

II. 4y² – 24y + 32 = 0

1. x > y
2. x < y
3. x = y or relation between x and y can't be established
4. x ≥ y
5. x ≤ y

Answer 1

Correct Answer - Option 3 : x = y or relation between x and y can't be established

From I,

x² – 6x + 8 = 0 

⇒ x² – 4x – 2x + 8 = 0 

⇒ (x – 4)(x – 2) = 0

⇒ x = 4, 2

From II,

4y² – 24y + 32 = 0

⇒ 4y² - 16y - 8y + 32 = 0

⇒ (y - 4)(4y – 8) = 0

⇒ y = 4, 2

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
4	4	x = y
4	2	x > y
2	4	x < y
2	2	x = y

 

∴ Relation between x and y can't be established.