Question

If (x+ 1/x) = 5, then( x² + 1/ x² ) = ?​

Answer 1

Answer:

$(x^{2} +1/x^{2} )=23$

Step-by-step explanation:

given,

(x+1/x)=5

then $(x^{2} +1/x^{2} )$ =?

we have to do squaring both sides for (x+1/x)=5 then we will get answer for

$(x^{2} +1/x^{2} )$

$[(x+1/x)=5]^{2}$

we will get the answer

$x^{2}+1/x^{2} +2=25$

so if we send the 2 to L.H.S

we have subtract 25 and 2 we get 23

so,

the answer is

$(x^{2} +1/x^{2} )$=23

i hope it helps you

If it helps you plzzzz mark as brainlist

Answer 2

Answer:

Hey friend,

Here is the answer you are searching for,

(x+ 1/x)² = x² + 1/ x² + 2

Given,

(x+ 1/x) = 5

=> (x+ 1/x)² = 5² = 5×5 = 25

(x+ 1/x)² = x² + 1/ x² + 2

=> 25 = x² + 1/ x² + 2

=> x² + 1/ x² = 25-2 = 23.

Therefore,

x² + 1/ x² = 23.

HOPE IT HELPS YOU.

PLEASE MARK AS BRAINLIEST...