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}.