Question

if x= 3-2 root 2 , find x^2 +1/x ^2 ( do with proper steps or i will report)

Answer 1

Step-by-step explanation:

x=3-2√2

1/x=3+2√2/(3-2√2)(3+2√2)

=3+2√2/9-8=3+2√2

x+1/x=3-2√2+3+2√2=6

x^2+1/x^2=(x+1/x)^2-2

=36-2=34

Answer 2

Answer:

since x=3-2√2

so,1/x=1/3-2√2

1/x=1/3-2√2×3+2√2/3+2√2

1/x=3+2√2

x²+1/x²=( 3-2√2)²+(3+2√2)²

=9+8-12√2+9+8+12√2

=17+17

=34