Question

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

I. x2 – 23x + 132 = 0

II. y² = (∛216)²

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

Answer 1

Correct Answer - Option 1 : x > y

Given:

I. x2 – 23x + 132 = 0

II. y2 = (∛216)2

Calculation:

From I,

x2 – 23x + 132 = 0

⇒ x2 – 11x – 12x + 132 = 0

⇒ x(x – 11) – 12(x – 11) = 0

⇒ (x – 11)(x – 12) = 0

Taking,

⇒ (x – 11) = 0 or  (x – 12) = 0

⇒ x = 11 or 12

From II,

y2 = (∛216)2

⇒ y2 = 36

⇒ y = 6 and -6

Comparison between x and y (via Tabulation):

Value of x	Value of y	Relation
11	6	x > y
12	6	x > y
11	-6	x > y
12	-6	x > y

∴ x > y.