Question

the sum of an integer and its reciprcal is 17/4. find the number.

Answer 1

Let integer be x,
So, Reciprocal of Integer = 1/x

We are given, x + 1/x = 17/4
                    x²+1/x = 17/4
              so, 4x²+4 = 17x
        so, 4x² -17x + 4 = 0
              4x² -16x - x + 4 = 0
             3x(x-4) -1(x-4) = 0
          so, x = 4 or x = 1/3

Hence, Integer is 4

Answer 2

the sum of an integer & its reciprocal is 17/4 .the number is....4