Question
If x2 – 8√2x + 1 = 0, then what
is the value of x3 + 1/x3.Solution
Since, x2 – 8√2x + 1 = 0 Or, x + 1/x = 8√2 So, x3 + 1/x3 = (x + 1/x)3 – 3(x + 1/x) = 1024√2 – 24√2 = 1000√2
Question
Since, x2 – 8√2x + 1 = 0 Or, x + 1/x = 8√2 So, x3 + 1/x3 = (x + 1/x)3 – 3(x + 1/x) = 1024√2 – 24√2 = 1000√2