Question

If x^2+1/x^2=66 find value of x+1/x

Answer 1

x^2+1. 1

--------- = 1+ ---------. = 66

x^2. x^2

1

---------. =66-1= 65

x^2

= 1/65= x^2

x= 1/√65

(x+1) = ( 1/√61) + 1

---------. --------------------

x. 1/√61

= 1 + 1

----------

1/61