Question

The sum of a number and its reciprocal is 17/4. Find the numbers.
A)2,1/2 B)4,1/4 C)3,1/3 D)5,1/5

Answer 1

B - 4 and 1/4
see the attachment

Answer 2

Let the number be x.Then

x+1/x = 17/4

x^2+1/x=17/4

4(x^2+1) = 17x

4x^2+4 = 17x

4x^2-17x+4=0

4x^2-16x-x+4=0

4x(x-4)-1(x-4)=0

x=4, 1/4

hence option B is correct.

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