HP 35s Scientific Calculator Manuel d'utilisateur Page 123
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- Table des matières
- MARQUE LIVRES
Noté. / 5. Basé sur avis des utilisateurs
Solving Equations 7-1
7
Solving Equations
In chapter 6 you saw how you can use to find the value of the left–hand
variable in an assignment–type equation. Well, you can use SOLVE to find the value
of any variable in any type of equation.
For example, consider the equation
x
2
– 3y = 10
If you know the value of y in this equation, then SOLVE can solve for the unknown x.
If you know the value of x, then SOLVE can solve for the unknown y. This works for
"word problems" just as well:
Markup × Cost = Price
If you know any two of these variables, then SOLVE can calculate the value of the
third.
When the equation has only one variable, or when known values are supplied for
all variables except one, then to solve for x is to find a root of the equation. A root
of an equation occurs where an equality or assignment equation balances exactly,
or where an expression equation equals zero.
Solving an Equation
To solve an equation (excluding built-in equations) for an unknown variable:
1. Press and display the desired equation. If necessary, type the equation
as explained in chapter 6 under "Entering Equations into the Equation List."
- HP 35s scientific calculator 1
- Printing History 2
- Contents 3
- 2 Contents 4
- 4 Contents 6
- 6 Contents 8
- Part 2. Programming 9
- 8 Contents 10
- 10 Contents 12
- 12 Contents 14
- Basic Operation 15
- Getting Started 17
- Shifted Keys 18
- Alpha Keys 19
- Cursor Keys 19
- Backspacing and Clearing 20
- Getting Started 1-5 21
- Keys for Clearing (continued) 21
- Key Description 21
- Using Menus 22
- while the item is 23
- in the table on page 1–5 23
- Exiting Menus 24
- RPN and ALG Modes 25
- RPN mode ALG mode 26
- Undo key 27
- sign (exponent), and 28
- Getting Started 1-13 29
- HP 35s Annunciators 29
- Annunciator Meaning Chapter 29
- 1-14 Getting Started 30
- Õ and Ö to see the 30
- Keying in Numbers 31
- Keys: Display: Description 32
- Understanding Entry Cursor 33
- Range of Numbers and OVERFLOW 33
- 1-18 Getting Started 34
- Getting Started 1-19 35
- Getting Started 1-21 37
- 1-22 Getting Started 38
- or 38
- Getting Started 1-23 39
- Fractions 42
- Calculator Memory 44
- Clearing All of Memory 45
- 1-30 Getting Started 46
- RPN: The Automatic 47
- Memory Stack 47
- Clearing the X–Register 49
- 51
- How ENTER Works 52
- How to Clear the Stack 53
- The LAST X Register 54
- 3947.52704.96 + 56
- Work from the Parentheses Out 58
- 0000.181 60
- )53805.16( 60
- More Exercises 62
- 63
- 63
- 63
- Storing Data into Variables 65
- Storing and Recalling Numbers 66
- _ Avogadro's number 67
- Viewing a Variable 68
- Using the MEM Catalog 68
- Storage Arithmetic 70
- Recall Arithmetic 71
- Real–Number Functions 75
- Trigonometry 77
- Setting the Angular Mode 78
- Real–Number Functions 4-5 79
- Hyperbolic Functions 80
- Percentage Functions 80
- Real–Number Functions 4-7 81
- 4-8 Real–Number Functions 82
- to insert the constant 83
- Conversion Functions 84
- Real–Number Functions 4-11 85
- Time Conversions 87
- Angle Conversions 87
- Unit Conversions 88
- Combinations 89
- Permutations 89
- Random number generator 89
- Integer part 91
- Fractional part 91
- Absolute value 91
- To calculate: Press: Display: 92
- Fractions in the Display 94
- Accuracy Indicators 95
- Changing the Fraction Display 96
- annunciator will 97
- Choosing a Fraction Format 98
- Fractions 5-7 99
- Examples of Fraction Displays 100
- Fractions in Equations 101
- Fractions in Programs 102
- How You Can Use Equations 103
- Keys: Display: Description: 104
- Key Operation 105
- Variables in Equations 106
- Numbers in Equations 107
- Functions in Equations 107
- Parentheses in Equations 108
- annunciator 109
- and 109
- Types of Equations 111
- Evaluating Equations 112
- Using ENTER for Evaluation 113
- Using XEQ for Evaluation 114
- The Syntax of Equations 116
- Order Operation Example 117
- Equations Meaning 117
- Verifying Equations 121
- ×as required) 122
- (hold) 122
- Solving Equations 123
- _ 125
- Solving Equations 7-5 127
- Solving built-in Equation 128
- Verifying the Result 129
- Solving Equations 7-9 131
- 7-10 Solving Equations 132
- Solving Equations 7-11 133
- For More Information 134
- Integrating Equations 135
- )sincos( 137
- Integrating Equations 8-5 139
- Accuracy of Integration 140
- Integrating Equations 8-7 141
- , ln z, and e 143
- The Complex Stack 144
- Complex Operations 144
- Complex Numbers in Equations 149
- Complex Number in Program 150
- Vector Arithmetic 151
- 152
- Absolute value of the vector 153
- AAA +⋅⋅⋅++ 153
- Dot product 154
- Vector Arithmetic 10-5 155
- Vectors in Equations 156
- Vectors in Programs 157
- , , , and in any base 162
- () 163
- The Representation of Numbers 164
- Range of Numbers 165
- indicates 165
- 165
- 165
- or annunciator (or 166
- 166
- Statistical Operations 167
- Entering One–Variable Data 168
- Entering Two–Variable Data 168
- Statistical Operations 12-3 169
- to retrieve 169
- Initial x, y Corrected x, y 169
- Statistical Calculations 170
- Statistical Operations 12-5 171
- Sample Standard Deviation 172
- Population Standard Deviation 173
- Linear Regression 173
- 12-8 Statistical Operations 174
- () (or Õ () 174
- Statistical Operations 12-9 175
- Summation Statistics 177
- Statistics Registers 178
- Register Number Description 178
- Statistical Operations 12-13 179
- 12-14 Statistical Operations 180
- Programming 181
- Simple Programming 183
- Designing a Program 185
- 13-4 Simple Programming 186
- letter–key 186
- Data Input and Output 187
- Entering a Program 188
- Simple Programming 13-7 189
- Function Names in Programs 190
- Simple Programming 13-9 191
- (In RPN mode) 191
- Display: Description: 191
- Running a Program 192
- Testing a Program 193
- Entering and Displaying Data 194
- Using INPUT for Entering Data 195
- Simple Programming 13-15 197
- Simple Programming 13-17 199
- Error Stops 201
- Editing a Program 202
- Program Memory 203
- Memory Usage 204
- The Catalog of Programs (MEM) 204
- Clearing One or More Programs 205
- The Checksum 205
- Nonprogrammable Functions 206
- Programming with BASE 206
- Simple Programming 13-25 207
- 13-26 Simple Programming 208
- 13-28 Simple Programming 210
- Programming Techniques 211
- Nested Subroutines 212
- Programming Techniques 14-3 213
- Branching (GTO) 214
- Programming Techniques 14-5 215
- Conditional Instructions 216
- or 217
- 14-8 Programming Techniques 218
- ÕÕ(<) 218
- ÕÕ(<) 218
- () Ö () 219
- 14-10 Programming Techniques 220
- is your sole response to 221
- 14-12 Programming Techniques 222
- Programming Techniques 14-13 223
- Program Lines: 223
- Description: 223
- Programming Techniques 14-15 225
- Conditional Loops (GTO) 227
- Programming Techniques 14-19 229
- 14-20 Programming Techniques 230
- Programming Techniques 14-21 231
- 14-22 Programming Techniques 232
- Program Control with (I)/(J) 233
- Equations with (I)/(J) 233
- Unnamed indirect variables 233
- 14-24 Programming Techniques 234
- Solving a Program 235
- Using SOLVE in a Program 240
- ∫ FN" below.) 241
- variable 244
- Statistics Programs 247
- 16-2 Statistics Programs 248
- Statistics Programs 16-3 249
- Description 249
- 16-4 Statistics Programs 250
- Statistics Programs 16-5 251
- 16-6 Statistics Programs 252
- Statistics Programs 16-7 253
- Statistics Programs 16-9 255
- Statistics Programs 16-11 257
- Logarithmic Exponential Power 257
- "Upper tail" 258
- area 258
- Statistics Programs 16-13 259
- 16-14 Statistics Programs 260
- Statistics Programs 16-15 261
- Statistics Programs 16-17 263
- Grouped Standard Deviation 264
- Statistics Programs 16-19 265
- (In ALG mode) 265
- 16-20 Statistics Programs 266
- Statistics Programs 16-21 267
- Statistics Programs 16-23 269
- 16-24 Statistics Programs 270
- Time Value of Money 271
- Prime Number Generator 277
- Note: x is the 278
- X-register 278
- Cross Product in Vectors 281
- Appendixes and Reference 285
- Calculator Support 287
- ) mean? 287
- Environmental Limits 288
- Changing the Batteries 289
- Testing Calculator Operation 290
- The Self–Test 291
- Warranty 293
- Customer Support 294
- Regulatory information 298
- User Memory and the Stack 301
- Resetting the Calculator 302
- Clearing Memory 303
- The Status of Stack Lift 304
- Disabling Operations 305
- Neutral Operations 305
- B-6 User Memory and the Stack 306
- Õ or Ö will move the 307
- B-8 User Memory and the Stack 308
- ALG: Summary 309
- Simple Arithmetic 310
- Power Functions 311
- Percentage Calculations 311
- Parentheses Calculations 312
- ALG: Summary C-5 313
- To Calculate: Press: Display: 313
- Trigonometric Functions 314
- Parts of numbers 315
- Reviewing the Stack 315
- Integrating an Equation 316
- ALG: Summary C-9 317
- 318
- 318
- 319
- ALG: Summary C-13 321
- C-14 ALG: Summary 322
- More about Solving 323
- D-2 More about Solving 324
- Interpreting Results 325
- More about Solving D-5 327
- More about Solving D-7 329
- When SOLVE Cannot Find a Root 330
- More about Solving D-9 331
- 05.00.3)] (x [x =−+÷ 333
- D-12 More about Solving 334
- Round–Off Error 335
- D-14 More about Solving 336
- More about Integration 337
- E-2 More about Integration 338
- More about Integration E-3 339
- More about Integration E-5 341
- E-6 More about Integration 342
- ∞, the upper limit of 343
- E-8 More about Integration 344
- More about Integration E-9 345
- E-10 More about Integration 346
- Messages 347
- () ) 349
- F-4 Messages 350
- , or ". Pressing or 351
- F-6 Messages 352
- Operation Index 353
- Õ to leave 355
- () 358
- Operation Index G-7 359
- Operation Index G-9 361
- Operation Index G-11 363
- Operation Index G-13 365
- Restarts the random– 365
- Hyperbolic sine 365
- Power 369
- G-18 Operation Index 370
- Special Characters 371
- Index-10 380
- Index-11 381
- Index-12 382
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