SOLUTION: The sum of a number and its reciprocal is given below. 29/10. Find the numbers.

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Question 446609: The sum of a number and its reciprocal is given below.
29/10. Find the numbers.
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

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.