8 - x - 16/x = 0 হলে (x2+ 1)/x এর মান -

প্রশ্ন: 8 - x - 16/x = 0 হলে (x² + 1)/x এর মান -

সমাধান:
8 - x - 16/x = 0
8 = x + 16/x
(x² + 16)/x = 8
x² + 16 = 8x
x² - 8x + 16 = 0
x² - 2.x.4 + 4² = 0
(x - 4)² = 0
x - 4 = 0
x = 4

x² + 1/x
=x²/x + 1/x
= x + 1/x
= 4 + 1/4
= (16 + 1)/4
= 17/4