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quadratic ^ quadratic (Posted on 2021-04-06) Difficulty: 3 of 5
Please find all real solutions to the following equation:

(x^2-11*x+29)^(x^2-17*x+72) = 1

Adapted from a problem by Presh Talwalkar.

See The Solution Submitted by Larry    
Rating: 3.0000 (1 votes)

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Solution More solutions | Comment 2 of 3 |
One more possibility:

   x^2-11*x+29 = -1

  and

  x^2-17*x+72 is even

The first equation has roots of 5 and 6.  And both of these result in the 2nd equation being even.

So the solutions are {4, 5, 6, 7, 8, 9}



  Posted by Steve Herman on 2021-04-06 11:09:11
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