In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I. 3x2 – 8x + 4 = 0 II. 6y2 – 5y + 1 = 0
In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.
I. 3x2 – 8x + 4 = 0
II. 6y2 – 5y + 1 = 01). x > y
2). x < y
3). x ≥ y
4). x ≤ y
1 answers
I. 3x2 – 8x + 4 = 0
⇒ 3x2 – 6x – 2x + 4 = 0
⇒ 3x(x – 2) – 2(x – 2) = 0
⇒ (3x – 2) (x – 2) = 0
⇒ x = 2/3, 2
II. 6y2 – 5y + 1 = 0
⇒ 6y2 – 3y – 2y + 1 = 0
⇒ 3y (2y – 1) – 1(2y – 1) = 0
⇒ (2y – 1) (3y – 1) = 0
⇒ y = 1/2, 1/3
When x = 2/3, y = 1/2, then x > y
When x = 2/3, y = 1/3, then x > y
When x = 2, y = 1/2, then x > y
When x = 2, y = 1/3, then x > y
∴ x and y are related as x > y
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