Question

if x²-3x+1=0 then find x⁵+1/x⁵​

Answer 1

Answer:

33/32 or 2

Step-by-step explanation:

x²-3x+1=0

x²-x-2x+1=0

x(x-1) -2(x-1)=0

(x-2)(x-1)=0

x=2 or 1

x⁵​+1/x⁵​=2⁵​+1/2⁵​       or x⁵​+1/x⁵= 1⁵​+1 /1⁵​​

          =32+1/32                      = 1+1/1

          = 33/32                          = 2/1=1