Question

If x=3+√8, then how do I find the value of (x²+1/x²)

Answer 1

Answer:

Step-by-step explanation:

x=3+√8

1/x=1/(3+√8)

   =1/(3+√8)*(3-√8)/(3-√8)

   =3-√8

(x+1/x)²=(x)²+(1/x)²+2*x*1/x

((3+√8)+(3-√8))=x²+1/x²+2

(3+√8+3-√8)=x²+1/x²+2

(3+3)²=x²+1/x²+2

6²=x²+1/x²+2

36=x²+1/x²+2

36-2=x²+1/x²

x²+1/x²=34