Question

If x =3-2√2 find the value of x² + 1/x²​

Answer 1

⭐Answer⭐

➡Given here

x = 3-2√2

so,

1/x = 1/(3-2√2)

= (3+2√2)/(3-2√2)(3-2√2)

= (3+2√2)/(9-8)

= (3+2√2)

And,

(1/x)² = (3+2√2)²

= 9+8+12√2

= 17+12√2

So,

Now

x² + 1/x² = (3-2√2)²+(3+2√2)²

= (17-12√2)+(17+12√2)

= 34

✨This is Answer✨