Question

x=(2+√5) find value of x+1/x​

Answer 1

1/4(15+3√5). is the correct answer

Answer 2

Answer:

$x = 2 + \sqrt{5}$

$2 + \sqrt{5} + \frac{ 1}{2 + \sqrt{5} } = 0$

$2(2 + \sqrt{5} ) + \sqrt{5} (2 + \sqrt{5} ) + \frac{1}{2 + \sqrt{5} } = 0$

$\frac{9 + 4 \sqrt{5} }{2 + \sqrt{5} }$

is the answer