HP 33S - Page 328

D–4 More about Solving
File name 33s-English-Manual-040130-Publication(Edition 2).doc Page : 388
Printed Date : 2004/1/30 Size : 13.7 x 21.2 cm
Keys: Display: Description:
º d

Select Equation mode.
2
z ¸
h
X
)
3
Ù
4
¸
h
X
)
2
Ã
6
¸ h
X
Ù
8
Ï






Enters the equation.
º Î


Checksum and length.
Å

Cancels Equation mode.
Now, solve the equation to find the root:
Keys: Display: Description:
0
e
X 10

_ Initial guesses for the root.
º d

Selects Equation mode;
displays the left end of the
equation.
Û
X



Solves for X; displays the
result.
<

Final two estimates are the
same to four decimal places.
<



f(x) is very small, so the
approximation is a good root.
Example: An Equation with Two Roots.
Find the two roots of the parabolic equation:
x
2
+ x – 6 = 0.
Enter the equation as an expression:
Keys: Display: Description:
º d

Selects Equation mode.
h
X
)
2
Ù
h
X
Ã
6
Ï


Enters the equation.
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