Question

if x=6-√35 then find the value of x+1/x​

Answer 1

Step-by-step explanation:

$x = 6 - \sqrt{35} \\ \frac{1}{x} = \frac{1}{6 - \sqrt{35} } \\ x + \frac{1}{x} = 6 - \sqrt{35} + \frac{1}{6 - \sqrt{35} } \\ = \frac{(6 - \sqrt{35} ) {}^{2} + 1}{6 - \sqrt{35} } \\ = \frac{36 + 35 - 12 \sqrt{35} + 1 }{6 - \sqrt{35} } \\ = \frac{72 - 12 \sqrt{35} }{6 - \sqrt{35} } \\ = \frac{12(6 - \sqrt{35}) }{6 - \sqrt{35} } \\ = 12 \times 1 \\ = 12$