Question

If x + 1/x = 6, find the value of x^4 + 1/x4

Answer 1

Answer:

1154

Step-by-step explanation:

x+1/x=6

=>(x+1/x)²=6²=36

=>x²+1/x²+2=36

=>x²+1/x²=36-2=34

=>x²+1/x²=34

Now squaring both the sides again, we get

(x²+1/x²)²=34²=1156

=>x⁴+1/x⁴+2=1156

=>x⁴+1/x⁴=1156-2=1154