HP 33s scientific calculator 用户手册

 

File name 33s-English-Manual-040130-Publication(Edition 2).doc       Page : 388 
Printed Date : 2004/1/30                       Size : 13.7 x 21.2 cm 

When SOLVE evaluates an equation, it does it the same way 

t

 does — any 

"=" in the equation is treated as a " – ". For example, the Ideal Gas Law equation 
is evaluated as P 

× V – (N × R × T). This ensures that an equality or assignment 

equation balances at the root, and that an expression equation equals zero at the 
root. 

Some equations are more difficult to solve than others. In some cases, you need to 
enter initial guesses in order to find a solution. (See "Choosing Initial Guesses for 
SOLVE," below.) If SOLVE is unable to find a solution, the calculator displays   


  . 

See appendix D for more information about how SOLVE works. 

After the SOLVE calculation ends, you can verify that the result is indeed a solution 
of the equation by reviewing the values left in the stack: 

  The X–register (press 

Å

 to clear the VIEWed variable) contains the solution 

(root) for the unknown; that is, the value that makes the evaluation of the 
equation equal to zero. 

  The Y–register (press 

<

) contains the previous estimate for the root. This 

number should be the same as the value in the X–register. If it is not, then the 
root returned was only an approximation, and the values in the X– and 
Y–registers bracket the root. These bracketing numbers should be close 
together. 

  The Z– register (press 

<

 again) contains this value of the equation at the 

root. For an exact root, this should be zero. If it is not zero, the root given was 
only an approximation; this number should be close to zero. 

If a calculation ends with the   , the calculator could not converge on 
a root. (You can see the value in the X–register — the final estimate of the root — 
by pressing 

Å

 or 

~

 to clear the message.) The values in the X– and Y–registers 

bracket the interval that was last searched to find the root. The Z–register contains 
the value of the equation at the final estimate of the root. 

  If the X– and Y–register values aren't close together, or the Z–register value 

isn't close to zero, the estimate from the X–register probably isn't a root. 

  If the X– and Y–register values are close together, and the Z–register value is 

close to zero, the estimate from the X–register may be an approximation to a 
root.