Question

If x+1/x=5 find the value of x square +1/xsquare

Answer 1

Answer:

Step-by-step explanation:

x2−(1x)2=(x+1x)(x−1x)

We know that (a+b)2=(a−b)2+4ab

Hence,  (x+1x)2=(x−1x)2+4⋅x⋅1x=25+4=29  

Hence the required solution is ±529−−√

Answer 2

x + 1/x = 5
or, (x+1/x)² = (5)²
or, x²+1/x²+2.x.1/x = 25
or, x² + 1/x² + 2 = 25
or, x² +1/x² = 25-2
so, x²+1/x² = 23

$hope \: it \: will \: help \: you \: dear...$