1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. 4x2 + 13x + 9 = 0II. 4y2 + 20y + 25 =01. x ˃ y2. x ˂ y3. x ≥ y4. x ≤ y5. x = y or the relationship between x and y cannot be established.

Answer» Correct Answer - Option 1 : x ˃ y

From equation I) we get,

4x2 + 13x + 9 = 0

⇒  4x2 + 4x +9x + 9

⇒ 4x (x +1) +9(x + 1)

⇒ (x +1)(4x + 9)

x = -1, -9/4

From equation II) we get,

4y2 + 20y + 25 =0

⇒ 4y2 +10y +10Y +25

⇒ 2y(2y + 5) + 5(2y + 5)

⇒ (2y + 5) (2y + 5)

∴  y = -5/2, -5/2

Comparison between x and y (via Tabulation):

Value of xValue of yRelation
-1-5/2x > y
-1-5/2x > y
-9/4-5/2x > y
-9/4-5/2

x > y

 

∴ x > y



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