Can You Solve for n? Puzzle + Solution

in MES Science2 months ago

Try solving the following puzzle before looking at the solution!

Can You Solve for n?

This is a good puzzle to test your pattern recognition and algebra skills. Can you solve for n?

Hint: Try to get it in the form of a quadratic equation.

Source: https://mes.fm/puzzles/can-you-solve-for-n

Solve for n.png

Solution

The first step in solving this is to recognize that we can get this equation in quadratic form by writing (n2)n = (nn)2. Then we let x = nn and complete the square and solving for x. Replacing x with nn and solving for n we get n = 1.

The puzzle was taken from the following website, which includes using natural log in the solution instead of 11/n = 1 in my solution: https://mathematicsart.com/solved-exercises/solution-can-you-solve-this-n2n-2-nn10/

Source: https://mes.fm/puzzles/can-you-solve-for-n/solution

Solve for n Solution.png


New Puzzle: Missing Cards Riddle

This is a good riddle to test your card dealing skills. Do you know how many cards are missing?

Source: https://mes.fm/puzzles/missing-cards-riddle

Dealing Cards Riddle.jpeg

I will share the solution here next month!


More Puzzles

The above puzzles were taken from my website and republished on the Hive blockchain.

For more puzzles, visit: https://mes.fm/puzzles


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