Question

slove step by step please i will mark as brainliest​

Answer 1

Answer:

11

Step-by-step explanation:

$x=\frac{3-\sqrt{13} }{2}$

$x^{2} =\frac{9+13-6\sqrt{13} }{4}$

$\frac{1}{x} = \frac{2}{3-\sqrt{13} }\\ =\frac{2*[3+\sqrt{13}] }{[3-\sqrt{13}]*[3+\sqrt{13}] } \\=\frac{2*[3+\sqrt{13}] }{9-13} = \frac{-[3+\sqrt{13}] }{2} \\\frac{1}{x^{2} } =\frac{9+13+6\sqrt{13} }{4}$

adding both of them gives

$x^{2} +\frac{1}{x^{2} } =\frac{22-6\sqrt{13} }{4} +\frac{22+6\sqrt{13} }{4}$

=44/4=11