Puzzle of the Week
(February 9-13, 2009)

Three simultaneous equations

Find all positive real solutions of the simultaneous equations:             x + y2 + z3 = 3
                             y + z2 + x3 = 3
                             z + x2 + y3 = 3

 

Solve this puzzle and win a $5 gift certificate prize!!!  If you are a bona fide student of COM-FSM Pohnpei Campus, you can email your answer to gmangonon@comfsm.fm, or submit your answer to any of Math/Science Division instructor, or at the Math/Sci Faculty Office.  Be ready to defend your answer.

You can also win gift items by solving these puzzles specifically designed for students in different Math course levels.  When submitting your answer, make sure you present your registration paper to prove that you are enrolled in any of these Math course levels.

For MS095 students:

A freight car is roughly a box that is  22 ft. by  8 ft. by  7 ft. What is the volume of such a freight car?

For MS096 students:

A technician measures the current in a circuit to be  6.2 amperes and the resistance is  8 ohms. Find the voltage.

For MS099 students:

Solve and graph. Write the solution in interval notation.

         4|x|+ 2 ≤ 28

For MS100 students:

A rectangular playground of length x and width y has a perimeter of 600 feet. Determine the equation for the area of the playground in terms of x.