Question

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

Answer 1

Answer:

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

Answer 2

x+¹/x = 5

or, ( x+¹/x)² = 5²      (squaring both sides)

or,  x²+¹/x²+2×x×1/x = 25

or, x²+¹/x²+2 = 25

or, x²+¹/x² = 25-2

or, x²+¹/x² = 23

Hence, x²+¹/x² = 23

Hope this helps you to get to your answer.