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

Answer 2

Answer:

23

Step-by-step explanation:

$x+1/x=5 \\ {x}^{2} + \frac{1}{ {x}^{2} } = (x+1/x) {}^{2} - 2(x)( \frac{1}{x} ) \\ = (5) {}^{2} - 2 \\ = 23$

Hope it helps you!!!