1.

If x = (2+√5), find the value of x+1/x​

Answer»

Answer:

23

Step-by-step explanation:

( X + 1 /x ) = 5

We need to find x2 + 1 / x2

( x + 1 / x )2 = 25

= x2 + 1 / x2 + 2 (x)(1/x) = 25

= x2 + 1/x2 + 2 = 25

= x2 + 1 / x2 = 25 – 2

= x2 + 1 / x2=23

Hence x2  + 1 / x2 = 23


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