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An Interesting Temperature

The installation of on-board viewscreens has really made flying a lot more fun for everyone.  But while most people enjoy watching movies or playing video games, I enjoy analyzing flight data.

As I tracked the numbers for this particular flight, I started to get excited in anticipation of the external temperature hitting -40 degrees.  This is a rather special temperature, as it is the unique temperature that is the same in Fahrenheit or Celsius!  Some simple algebra tells us so.

$\frac{9}{5}x + 32 = x$

$\frac{4}{5}x=-32$

$x = -40$

Unfortunately, as we started to descend, the temperature was changing more rapidly than the data was updating, so I missed it.

But if we assume temperature is a continuous function, at least we know it had to be -40 out there at some point!