Question

if x=5-2√6 then find the value of x+1/x.plz answer correctly​

Answer 1

Answer:

10

Step-by-step explanation:

= > x = 5 - 2√6

= > 1/x = 1/(5 - 2√6)

Divide as well as multiply by 5 + 2√6:

= > $\frac{1}{x} =\frac{1}{5-2\sqrt6}\times\frac{5+2\sqrt6}{5+2\sqrt6}$

= > $\frac{1}{x} =\frac{5+2\sqrt6}{(5-2\sqrt6)(5+2\sqrt6)}$

= > $\frac{1}{x} =\frac{5+2\sqrt6}{(5)^2-(2\sqrt6)^2}$

= > $\frac{1}{x} =\frac{5+2\sqrt6}{25 -24}$

= > $\frac{1}{x} =\frac{5+2\sqrt6}{1}$

= > 1/x = 5 + 2√6

Thus,

= > x + 1/x = (5 - 2√6) + (5 + 2√6) = 5 + 5

= > x + 1/x = 10