Question

if x²+1/x²=23. Find x+1/x​

Answer 1

Step-by-step explanation:

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But, x^2+1/x^2 = 23 and hence, (x + 1/x)^2 = 23 + 2 = 25.

this is correct answer

Answer 2

Answer:

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Step-by-step explanation:

so here x²+1/x²=23.

so this is in form a square+b square

thus accordingly

a square+b square=(a+b)square-2ab

hence

x²+1/x²=23=(x+1/x)square-2x.1/x

ie (x+1/x)square-2=23

so (x+1/x)square=23+2

ie (x+1/x)square=25

taking square roots on both sides we get

x+1/x=5 or x+1/x=-5