Question

CH- ALGEBRIC EXPRESSIONS AND IDENTITIES.
Q.IF (x²+1/x²)=23,find the value of x+1/x
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Answer 1

Answer:

ans 5

Step-by-step explanation:

using identity 1 st

(x+1/x)²=x²+1/x²+2(×)(1/×)

put the vale of x²+1/x²

(×+1/×)²=23+2

×+1/×=root25

x+1/x=5

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Answer 2

Answer:

We have x2 + 1/x2 = 23

(x−1/x) 2 =x2 +1/x2−2

= 23 - 2

= 21

Taking square root on both sides, we get

(x−1/x)=√21

Thus, x−1/x=√21 or−√21