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x + (1/16x) = 1 হয় তবে 64x3 + (1/64x3) এর মান কত?

A 4  

B 52

C 64

D 76

Solution

Correct Answer: Option D

দেওয়া আছে,
x + 1/16x = 1
বা, 4x + 4/16x = 4
বা, 4x + 1/4x = 4
বা, (4x + 1/4x)3 = 43
বা, (4x)3 + (1/4x)3 - 3 . 4x . 1/4x ((4x + 1/4x) = 64
বা, 64x3 + 1/64x3 - 3 . 4 = 64
বা, 64x3 + 1/64x3 - 12 = 64
বা, 64x3 + 1/64x3 = 64 +12
∴ 64x3 + 1/64x3 = 76

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