Question

5. If x = 3+2√2, find the value of x2 + 1/x2

Answer 1

Step-by-step explanation:

x=3+2root2

$x ^{2} + \frac{1}{ {x}^{2} }$

$put \: th e \: value \: of \: x \: in \: equation$

(3+2root2)²+1/(3+2root2)²

$= 9 + 8 + \frac{1}{9 + 8}$

$17 + \frac{1}{17}$

$289 + \frac{1}{17}$

$\frac{290}{17}$

$this \: is \: urs \: answer \: of \: this \: question$

Answer 2

⭐GIVEN:

• x=3+2√2

⭐TO FIND:

• x²+1/x²=?

⭐SOLUTION:

x²+1/x²

→ (3+2√2) ²+1/(3+2√2) ²

→(3+2√2) (3+2√2) +1/(3+2√2) (3+2√2)

→ 3(3+2√2) +2√2(3+2√2) +1/3(3+2√2+2√2(3+2√2)

→9+6√2+6√2+8+1/9+6√2+6√2+8

→9+12√2+8+1/9+12√2+8

→18+12√2/17+12√2