Question

find the value of (x +1/x),if x^2+1/x^2=23
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Answer 1

Step-by-step explanation:

Given that:-

x²+1/x²=23

It can be written as

(x)²+(1/x)²=23

This is in the form of a²+b²

Here, a=x and b=1/x

We know that (a+b)²=a²+2ab+b²

=>a²+b²= (a+b)²-2ab

Now,

=>(x+1/x)²-2(x)(1/x)=23

=> (x+1/x)²-2=23

=>(x+1/x)²=23+2

=>(x+1/x)²=25

=>x+1/x=±√25

=>x+1/x=±5

Answer 2

Answer:

5 is the answer for your question