1. a. Find on the Internet or in your library a procedure for finding a real root of the general cubic equation ax3 + bx2 + cx + d = 0 with real coefficients.
b. What general algorithm design technique is it based on?
2. Indicate how many roots each of the following equations has:
a. xex - 1 = 0 b. x - ln x = 0 c. x sin x - 1 = 0