Question

if x+1/x=5 then x²+1/x²=?​

Answer 1

Answer:

Given ( x + 1 /x ) = 5

We need to find X2+ 1 / x2

( x + 1 / x )2 = 25

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

= x2 + 1/x2 + 2 = 25

= X2 + 1 / x2 = 25 – 2

= X2+ 1 / x2=23

Hence X2+ 1 / x2= 23

Step-by-step explanation:

hope it helps

Answer 2

Answer:

x²+1/x²=23

hope this hlp u!!!!

Step-by-step explanation:

x+1/x=5

by squaring both side we get,

(x+1/x)²=5²

(x)²+(1/x)²+2(x)(1/x)= 25. we use the identity:(a+b)²=a²+b²+2ab)

x²+1/x²=25-2

x²+1/x²=23