Question

if x+1/=5find the value of x2+1/x2

Answer 1

Hey mate!

Here is your answer > >

x+1/x=5

Squaring both sides

( x + 1 / x )^2=5^2

x^2+1/x^2+2=25

x^2+1/x^2=25-2

x^2+1/x^2=23

Hope it helps!

Thankyou ☆ ☆

Answer 2

A2A

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−−√29
I hope this will help you