perplexus.info :: General : quadratic ^ quadratic

Home > General

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)

Comments: ( Back to comment list | You must be logged in to post comments.)

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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (21)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info