Question

The sum of an integer and its reciprocal is 65/8. Find the integer. If the problem has two solutions, type your answers in the box below with NO spaces and separating them with a comma. Example: 2,7

Answer 1

Call the number you are looking for x. The reciprocal of x is 1/x. When you add them together, you get x + 1/x = 65/8. Multiply both sides of this eqn by x to get

x^2 +1 = 65/8 x

move the 65/8 x to the left side and then solve for x using the quadratic formula.....

Answer 2

8,1/8 ?

Answer 3

perfect, but 1/8 isn't an integer........

Answer 4

so just 8?

Answer 5

yes