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quadratic ^ quadratic (Posted on 2021-04-06)

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: 4.0000 (2 votes)

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More solutions

| Comment 2 of 5 |

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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