Question

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

Answer 1

Answer:

226/15

Step-by-step explanation:

X2+1/X2

(3+2root2)^2+1/(3+2root2)^2

=9+6+1/9+6

=15+1/15

=225+1/15

=226/15

Hope it helps

Answer 2

Answer:

$x = 3 + 2 \sqrt{2}$

${x}^{2} = (3 + 2 \sqrt{2) {}^{2} }$

${x}^{2} = 9 + 8 + 12 \sqrt{2}$

${x }^{2} = 17 + 12 \sqrt{2}$

${x }^{2} + 1 \div \sqrt{ {x}^{2} } =$

$289 + 288 + 816 =$