Question

If x^4+1/x^4=623 then find the value of x+1/x

Answer 1

Step-by-step explanation:

(x^2+1/x^2)^2= x^4+1/x^4+2

=(x^2+1/x^2)^2= 623+2

=(x^2+1/x^2)^2 = 625

=(x^2+1/x^2)^2=(25)^2

=x^2+1/x^2= 25

so

(x+1/x)^2= x^2+1/x^2+2

(x+1/x)^2= 25+2

(x+1/x)^2 = 27

x+1/x= 3√3

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