In the given questions, two equations numbered l and II are given. You

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 – 3x – 10 = 0II. y2 – 18y + 45 = 0 1. x > y2. x < y3. x ≥ y4. x ≤ y5. x = y or the relationship between x and y cannot be established.

Answer» Correct Answer - Option 5 : x = y or the relationship between x and y cannot be established.

Calculation:

From I,

x ²– 3x – 10 = 0

⇒ x² – 5x + 2x – 10 = 0

⇒ x(x – 5) + 2(x – 5) = 0

⇒ (x – 5)(x + 2) = 0

Taking,

⇒ x – 5 = 0 or x + 2 = 0

⇒ x = 5 or x = -2

From II,

y² – 18y + 45 = 0

⇒ y² – 15y – 3y + 45 = 0

⇒ y(y – 15) – 3(y – 15) = 0

⇒ (y – 15) (y – 3) = 0

Taking,

⇒ y – 15 = 0 or y – 3 = 0

⇒ y = 15 or y = 3

Comparison between x and y (via Tabulation)

Value of x	Value of y	Relation
5	15	x < y
5	3	x > y
-2	15	x < y
-2	3	x < y

∴ x = y or the relationship between x and y cannot be established.

Discussion

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