Question

The sum of two times a number and five times it’s reciprocal is 13/2. Find the numbers.

Answer 1

The equation you provided is:

2x + 5(1/x) = 13/2

To solve for x, we can first simplify the left-hand side of the equation:

2x + 5(1/x) = 2x + 5

Now, we can isolate x by subtracting 5 from both sides of the equation:

2x = 13/2 - 5

2x = 8

Now, we can divide both sides of the equation by 2 to solve for x:

x = 8/2

x = 4

So, the number is 4.

Explanation: