The sum of a number and its reciprocal is 2. Find the Number.

Step 1. Let the number be x, and so its reciprocal is 1/x
Step 2. That means x + 1/x = 2
Step 3. Multiply everything by x. That means x^2 + 1 = 2x
Step 4. Move everything to one side so that your quadratic equation = 0 and solve (factoring works)