Math 121, Quiz 2, October 5, 2006
Name:
Instructions. Do all problems, and show all of your work.
1. A motorboat left a harbor and traveled to an island at an average rate of 15 knots. The
average speed of the return trip was 10 knots. If the total trip took 7.5 hours, how far is the
harbor from the island?
2. Solve the equation 2x2+ 5x= 3.
3. Solve the rational equation 6
8 + x=4
8−x.
4. Find all solutions to the equation x4+ 3x3
−8x−24 = 0.
Hint: the equation simplifies to (x+ 3)(x−2)(x2+ 2x+ 4) = 0.