Question

What is the solution set of the equation? p2 – 12p = 13 The solution set is

Answer 1

                           p² - 12p = 13
                    p² - 12p - 13 = 0
              p² - 13p + p - 13 = 0
p(p) - p(13) + 1(p) - 1(13) = 0
         p(p - 13) + 1(p - 13) = 0
                  (p + 1)(p - 13) = 0
      p + 1 = 0    or    p - 13 = 0
          - 1  - 1             + 13 + 13
            p = -1                  p = 13

The solution set of the equation is {-1, 13}.