Question 446609

x + 1/x = 29/10

=> 10x^2 + 10 = 29x

=>  10x^2 -29x +10 =0

=> 10x^2 -25x -4x +10 =0

=> 5x(2x -5) -2(2x-5) = 0

=> (5x -2)(2x-5) = 0

numbers are 2/5  and  5/2.