(This is for practice purposes only; to make the computations a little less messy, the root will turn out to be an integer, so one could use the Rational Zero test instead.)

We want to find a real root of

We set *y*=*s*-*t*, where

The first equation yields

Substituting this into (2) yields

which can be rewritten as

The quadratic formula tells us that

We discard one of the solution to obtain

Consequently

so our solution is

Substituting back for *x*, we see that

What a complicated way of writing *x*=3!

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Wed Jun 25 13:25:29 MDT 1997

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