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In the given question, two equations numbered I and II are given. Solve both the equations and mark the appropriate answer.I. 7x2 + 15x + 8 = 0II. y2 + y/2 – 1/2 = 01. x > y2. x < y3. x ≥ y4. x ≤ y5. x = y or the relationship between x and y cannot be established. |
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Answer» Correct Answer - Option 4 : x ≤ y I. 7x2 + 15x + 8 = 0 ⇒ 7x2 + 7x + 8x + 8 = 0 ⇒ 7x(x + 1) + 8(x + 1) = 0 ⇒ (7x + 8)(x + 1) = 0 ⇒ x = -8/7, -1 II. y2 + y/2 – 1/2 = 0 ⇒ y2 + y – 1/2y – 1/2 = 0 ⇒ y(y + 1) – 1/2(y + 1) = 0 ⇒ (y – 1/2)(y + 1) = 0 ⇒ y = 1/2, -1
∴ x ≤ y |
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