x2+1x2=3,x6+1x3 এর মান কত?

x2+1x2=3,x6+1x3 এর মান কত? Correct Answer 25

x² + (1/x²) = > {x + (1/x)}² - 2.x.(1/x) = 3 = > {x + (1/x)}² = 3 + 2 = > x + (1/x) = ✓5 ∴(x6 + 1)/x³ = x³ + (1/x³) = {x + (1/x)}³ - 3.x.(1/x){x + (1/x)} = (✓5)³ - 3✓5 = 5✓5 - 3✓5 = 2✓5