Question

If x+1/x=6. Find the value of x3- 1/x3

Answer 1

Step-by-step explanation:

x + 1/x = 6

x - 1/x = √(x + 1/x)² - 4

= √ (6)²-4 = √32 = 4√2

x - 1/x = 4√2

x³ - 1/x³ - 3(4√2) = 128√2

x³ - 1/x³ = 128√2 + 12√2 = 140√2