A number added to its square equals 182. What is the value of this number?

Explanation

Let the number be x. According to the problem, x + x² = 182. Rearranging gives x² + x - 182 = 0. Factoring this quadratic, we get (x + 14)(x - 13) = 0, which means x = -14 or x = 13. Since the options are positive, the answer is 13.