In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer. I. 16x2 – 1 = 0 II. 4y2 – 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. 16x2 – 1 = 0
II. 4y2 – 5y + 1 = 01). x > y
2). x < y
3). x ≥ y
4). x ≤ y
1 answers
I. 16x2 – 1 = 0
⇒ 16x2 – 4x + 4x – 1 = 0
⇒ 4x (4x – 1) + 1(4x – 1) = 0
⇒ (4x – 1)(4x + 1) = 0
⇒ x = 1/4, – 1/4
II. 4y2 – 5y + 1 = 0
⇒ 4y2 – 4y – y + 1 = 0
⇒ 4y(y – 1) – 1(y – 1) = 0
⇒ (4y – 1) (y – 1) = 0
⇒ y = 1/4, 1
When x = 1/4, y = 1/4, then x = y
When x = 1/4, y = 1, then x < y
When x = – 1/4, y = 1/4, then x < y
When x = – 1/4, y = 1, then x < y
∴ x and y are related as x ≤ y
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