যদি a+b = 2, ab = 1 হয়, তবে a এবং b এর মান যথাক্রমে-
Solution
Correct Answer: Option B
দেওয়া আছে,
a + b = 2 .......(1)
এবং ab = 1 .......(2)
আমরা জানি,
(a - b)2 = (a + b)2 - 4ab
=> (a - b)2 = 22 - 4.1
=> (a - b)2 = 4 - 4
a - b = 0 ..........(3)
(1) + (3) হতে পাই,
2a = 2
=> a = 1
(1) - (3) হতে পাই,
2a = 2
=> b = 1
a = 1 এবং b = 1.
a + b = 2 .......(1)
এবং ab = 1 .......(2)
আমরা জানি,
(a - b)2 = (a + b)2 - 4ab
=> (a - b)2 = 22 - 4.1
=> (a - b)2 = 4 - 4
a - b = 0 ..........(3)
(1) + (3) হতে পাই,
2a = 2
=> a = 1
(1) - (3) হতে পাই,
2a = 2
=> b = 1
a = 1 এবং b = 1.
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