a4 + 1 = 3a2 হলে, a + (1/a) = কত?

প্রশ্ন: a4 + 1 = 3a2 হলে, a + (1/a) = কত?সমাধান:দেওয়া আছে,a4 + 1 = 3a2বা, a2{a2 + (1/a2)} = 3a2বা, {a2 + (1/a2)} = 3a2/a2বা, {a2 + (1/a2)} = 3 বা, {a + (1/a)}2 - 2 ⋅ a ⋅ (1/a) = 3বা, {a + (1/a)}2 - 2 = 3 বা, {a + (1/a)}2 = 3 + 2বা, {a + (1/a)}2 = 5∴ a + (1/a) = √5