Solving an equation for an unknown variable, Solving equations – HP 48g Graphing Calculator User Manual

Page 207

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18

Solving Equations

Solving an Equation for an Unknown Variable

To solve an equation for numeric answers bj' hand, you might use the

following general procedure:

1. Write down the equation you want to solve.

2. If possible, manipulate the equation to solve for the unknown

variable.

3. Substitute known values for the given variables.

4. Calculate the value of the unknown variable.

When you use the SOLVE application, you follow a similar

procedure—except you don’t need to do step

2

, and that simplifies the

process.

To sol¥6 an equation for an ynknown wariable:

1. Press

solve

!

ok

.

2. Enter or choose the equation you wish to solve.

3. Enter values for all of the known variables.
4. Optional: Enter a guess value for the unknown variable. This can

make the search quicker or guide the root-finder to a particular one

of several possible roots for a given equation.

5. Move the highlight to the unknown variable and press iiSOLVEE.'

The SOLVE application can solve for the numeric value of a variable

in an equation, expression, or program:

■ Equation. An equation is an algebraic object containing = (for

example, ’ fl+B=C '). A solution is a value of the unknown variable
that causes both sides to have the same numeric value.

■ Expression. An expression is an algebraic object not containing =

(for example, ’ H + B + C ‘ ) . A solution is a root of the expression—a

18

Solving Equations 18-1

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