HP 32SII - Manual (Page 316)

C–2 More about Solving
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
If f(x) has one or more local minima or minima, each occurs singly
between adjacent roots off f(x) (figure d, below).
f (x)
x
a
f (x)
b
x
f (x)
x
c
f (x)
x
d
Function Whose Roots Can Be Found
In most situations, the calculated root is an accurate estimate of the theoretical,
infinitely precise root of the equation. An "ideal" solution is one for which f(x)
= 0. However, a very small non–zero value for f(x) is often acceptable
because it might result from approximating numbers with limited (12–digit)
precision.