2x - 2/x = 3 হলে x3 - 1/x3 = কত?
সমাধান
সঠিক উত্তর: Option C
দেওয়া আছে,
2x - 2/x = 3
2(x - 1/x) = 3
x - 1/x = 3/2
প্রদত্ত রাশি = x3 - 1/x3
= (x)3 - (1/x)3
= (x - 1/x)3 + 3.x.1/x.(x - 1/x)
= (3/2)3 + 3 × (3/2)
= (27/8) + (9/2)
= (27 + 36)/8
= 63/8
2x - 2/x = 3
2(x - 1/x) = 3
x - 1/x = 3/2
প্রদত্ত রাশি = x3 - 1/x3
= (x)3 - (1/x)3
= (x - 1/x)3 + 3.x.1/x.(x - 1/x)
= (3/2)3 + 3 × (3/2)
= (27/8) + (9/2)
= (27 + 36)/8
= 63/8
