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In the following question, two equations are given. Find the correct answer after solving the equations. I. 3x2 + 34x – 165 = 0 II. 2y2 – 27y + 81 = 0

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In the following question, two equations are given. Find the correct answer after solving the equations.

I. 3x2 + 34x – 165 = 0

II. 2y2 – 27y + 81 = 0
1). x > y
2). x < y
3). x ≥ y
4). x ≤ y


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1 answers

3 vote
Answered by on | Votes 3 |

I. 3x2 + 34x – 165 = 0

⇒ 3x2 + 45x – 11x – 165 = 0

⇒ 3x(x + 15) – 11(x + 15) = 0

⇒ (3x – 11)(x + 15) = 0

⇒ x = -15 and 11/3       ---- (1)

II. 2y2 – 27y + 81 = 0

⇒ 2y2 – 18y – 9y + 81 = 0

⇒ 2y(y – 9) – 9(y – 9) = 0

⇒ (2y – 9)(y – 9) = 0

⇒ y = 9/2 and 9       ---- (2)

From (1) and (2)

∴ x < y

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