Question

x²+1/x²=34, if x =3 +2√2.....show that​

Answer 1

Answer:

hey frnd here is your answer

Step-by-step explanation:

Given - x= 3+2√2.

To prove- x²+1/x²

Proof-

x= 3+2√2

so x²= (3+2√2)²

= 3²+2(3)(2√2)+(2√2)²

= 9+12√2+8

x² = 17+12√2.

we can write 1/x² as inverse of x² so

if x²= 17+12√2 so 1/x²= 17-2√2.

x²+1/x² = 17+12√2+17-2√2

= 34.

Thus I proved that if x= 3+2√2 then x²+1/x² = 34.

I hope u get your answer

thnx for asking

plzz mark as brainlist...