2x + (2/x) = 3 হলে x2 + (1/x2) = কত?
Solution
Correct Answer: Option A
2x + 2/x = 3
বা, 2(x + 1/x) = 3
∴ x + 1/x = 3/2
এখন
x2 + 1/x2 = (x)2 + (1/x)2
= (x + 1/x)2 - 2.x.1/x
= (3/2)2 - 2
= (9/4) - 2
= (9 - 8)/4
= 1/4
বা, 2(x + 1/x) = 3
∴ x + 1/x = 3/2
এখন
x2 + 1/x2 = (x)2 + (1/x)2
= (x + 1/x)2 - 2.x.1/x
= (3/2)2 - 2
= (9/4) - 2
= (9 - 8)/4
= 1/4
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