vmt-award-2024_47--2-_purple

Challenge 4:

Two positive whole numbers add to 62. The second number is 2 more than 3 times the first. What are the two numbers?

Challenge 5:

Prove that the system of three equations log x y = z, log y z = x , log z x = y has no real solution.

Challenge 6: For a given a > 0, determine the values of b and c for which the equation a cos 2 x + b cos x + c = 0 has two unique solutions x in the interval [0, ( π/2)].

Please be sure to state your assumptions as you solve each problem. Answers to the 47(2) Hexa Challenge Problems will be featured in the 48(1) issue of Virginia Mathematics Teacher.

Contest Alert!

Virginia Mathematics Teacher is conducting a contest for educators and students who can solve the great est number of problems correctly by July 1. The winner will receive a prize and will be featured in the next issue of the VMT. Send your solu

tions to vmt@radford.edu with the email subject line: Hexa Challenge

Virginia Mathematics Teacher vol. 47, no. 2

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