Question

pls help I'll mark brainlest ​

Answer 1

Answer:

The answer is 2.

Hope it helps you.

Plz mark as brainliest plz.

Answer 2

Answer:

Step-by-step explanation:

$(x+\frac{1}{x} )^2=x^2+\frac{1}{x^{2} } +2\frac{1}{x} x\\\\x^2+\frac{1}{x^{2} }= (x+\frac{1}{x} )^2 - 2\frac{1}{x} x$

over here x=$9-4\sqrt{5}$

multiplying and dividing $9+4\sqrt{5}$

$\frac{1}{x} =\frac{1}{9-4\sqrt{5} } = \frac{9+4\sqrt{5}}{9-4\sqrt{5}(9+4\sqrt{5})} \\\\=\frac{9+4\sqrt{5}}{81-80}=9+4\sqrt{5}$

$x^2+\frac{1}{x^{2} }= 9-4\sqrt{5} + 9+4\sqrt{5} -2( 9-4\sqrt{5} )( 9+4\sqrt{5} )\\\\=18-2(81-80)\\=18-2\\=16$

Hopefully you have understood the answer