HP 33s Scientific manual LD dLV, Zlt ›, 2Solving Equations, = v0 t + 1/2 g t

„If the displayed value is the one you want, press g.

„If you want a different value, type or calculate the value and press g. (For details, see "Responding to Equation Prompts" in chapter 6.)

You can halt a running calculation by pressing ‡or g.

When the root is found, it's stored in the unknown variable, and the variable value is VIEWed in the display. In addition, the X–register contains the root, the Y–register contains the previous estimate, and the Z–register contains the value of the equation at the root (which should be zero).

For some complicated mathematical conditions, a definitive solution cannot be found — and the calculator displays  ! ". See "Verifying the Result" later in this chapter, and "Interpreting Results" and "When SOLVE Cannot Find a Root" in appendix D.

For certain equations it helps to provide one or two initial guesses for the unknown variable before solving the equation. This can speed up the calculation, direct the answer toward a realistic solution, and find more than one solution, if appropriate. See "Choosing Initial Guesses for Solve" later in this chapter.

Example: Solving the Equation of Linear Motion.

The equation of motion for a free–falling object is:

d = v0 t + 1/2 g t 2

where d is the distance, v0 is the initial velocity, t is the time, and g is the acceleration due to gravity.

Type in the equation:

Keys:	Display:	Description:
{c{} {&}		Clears memory.
H	  ! !	Selects Equation mode.
	or current equation
LD dLV		Starts the equation.
zLT ›	/#º!-¾
.5 zLG zLT 
2	#º!-)ºº!: _

7–2Solving Equations