Question

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

Answer 1

Answer:

x=1

Step-by-step explanation:

x+1/x=5-2√6+1/5-2√6

x+1/x=1

5-2√6 gets cancelled

Answer 2

Answer:

substitute value of x= (5-2√6) in equation (x+1/x)

we get,

(5-2√6)+(1/5-2√6)

take LCM of (5-2√6)and1

So,LCM is (5-2√6)

we get,

(5-2√6)(5-2√6)-(5-2√6)

(5-2√6)²-(5-2√6)

[ 5²+(2√6)²-2(5)(2√6) ] - (5-2√6)

25+24-20√6-5+2√6

49-5-20√6+2√6

44-18√6

2(22-9√6)

2×2(11-9√3)

4(11-9√3)

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