HP -32S Owner's Manual page 266

Values of /fa) may be approaching infinity at the location where the
graph changes sign (see figure b, below). This situation is called a
pole. Since the SOLVE operation determines that there is a sign
change between two neighboring values of x, it returns the possible
root. However, the value for /fa) will be relatively large. If the pole
occurs at a value of x that is exactly represented with 12 digits, then
that value would cause the calculation to halt with an error
message.
f(xJ
a
fCxJ
A
a b
Special Cases: A Discontinuity and a Pole
Example: A Discontinuous Function. Find the root of the
equation:
IP(x) - 1.5 = 0.
264 C: More About Solving an Equation