Question

If x = 5 - 2 root 6 then find the value of x + 1/x

Answer 1

Answer:

98

Step-by-step explanation:

x=5-2√6

Then 1/x=5+2√6. ( by rationalization)

(5-2√6)²+(5+2√6)²

25+24-20√6+ 25+ 24+20√6

25+24+25+24

50+48

98 is your answer

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Answer 2

Step-by-step explanation:

x+1/x

=(5-2√6)+1/(5-2√6)

=(5-2√6)^2+1/5-2√6

=(25+24-20√6+1)/5-2√6

=50-20√6/5-2√6

=10(5-2√6)/(5-2√6)

=10