2x - 2/x = 3 হলে 8(x3 - 1/x3) এর মান কত?
Solution
Correct Answer: Option C
দেওয়া আছে,
2x - 2/x = 3
2(x - 1/x) = 3
x - 1/x = 3/2
প্রদত্ত রাশি = 8(x3 - 1/x3)
= 8 {(x)3 - (1/x)3}
= 8 {(x - 1/x)3 + 3.x.1/x.(x - 1/x)}
= 8 {(3/2)3 + 3 × (3/2)}
= 8 {(27/8) + (9/2)}
= 8 {(27 + 36)/8}
= 8 (63/8)
= 63
2x - 2/x = 3
2(x - 1/x) = 3
x - 1/x = 3/2
প্রদত্ত রাশি = 8(x3 - 1/x3)
= 8 {(x)3 - (1/x)3}
= 8 {(x - 1/x)3 + 3.x.1/x.(x - 1/x)}
= 8 {(3/2)3 + 3 × (3/2)}
= 8 {(27/8) + (9/2)}
= 8 {(27 + 36)/8}
= 8 (63/8)
= 63
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