Casio FX-991ES Support Question
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Question posted by mandarjatkar on June 8th, 2012
Solving 3eqns With 3 Unknowns
how to solve 3eqations with 3 unknowns in 991es
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Related Casio FX-991ES Manual Pages
User Guide - Page 4
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...the items that is marked with it . Moreover, CASIO Computer Co., Ltd.
Initializing the Calculator
Perform the following shows an example of how a key operation to the corresponding example number ... separate Appendix. k Using the Separate Appendix
Whenever you want to initialize the calculator and return the calculation mode and setup to change without notice. • In no event shall ...
User Guide - Page 5
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_5_df0d.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_5_df0d.png)
... a battery can cause it into the hands of small children and accidentally swallowed.
• Keep batteries out of the reach of the calculator by incineration.
• Improperly using this calculator. Safety Precautions
Be sure to suddenly burst, creating the risk of fire and personal injury. Keep this manual.
Battery
• After removing...
User Guide - Page 6
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_6_181a.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_6_181a.png)
... a ballpoint pen or
other pointed object. • Use a soft, dry cloth to become corrupted or lost completely. Avoid carrying the calculator in areas subjected to large amounts of the calculator's case, and damage to internal circuitry.
• Avoid use thinner, benzene or other tight-fitting clothing where it to temperature extremes. Wring...
User Guide - Page 7
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_7_5a5f.png)
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... using d and e while the mode menu (which appears when you press N) is low.
k Turning Power On and Off
• Press O to the back of the calculator as shown in the illustration below. Important!
• If adjusting display contrast does not improve display readability, it , and then affix the hard case to...
User Guide - Page 8
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_8_fc62.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_8_fc62.png)
...value to recall the variable's value. A fixed number of a variable name to the variable. Calculation history memory data is available and can be exited and this indicator will disappear when you press ... default angle unit is more data above/below the current screen.
The calculator is degrees. The default angle unit is in independent memory. Math style is a value...
User Guide - Page 9
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_9_141d.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_9_141d.png)
..., which you can jump between using c and f. Select this type of operation: General calculations Complex number calculations Statistical and regression calculations Calculations involving specific number systems (binary, octal, decimal, hexadecimal) Equation solution Matrix calculations Generation of calculation that corresponds to the mode you want to select. • To select the CMPLX...
User Guide - Page 12
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_12_7760.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_12_7760.png)
... Norm1 d/c a+bi OFF Dot
• To cancel initialization without doing anything, press A(Cancel) instead of the functions shown below .
19(CLR)1(Setup)=(Yes)
This setting: Calculation Mode Input/Output Format Angle Unit Display Digits Fraction Display Format Complex Number Format Statistical Display Decimal Point
Is initialized to input the argument and...
User Guide - Page 15
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_15_0f33.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_15_0f33.png)
... correct the expression 369 × × 12 so it becomes
369 × 12 LINE Insert Mode:
369**12
dd
Y Overwrite Mode:
369**12
ddd
Y
Correcting a Calculation Example: To correct cos(60) so it becomes sin(60) LINE Insert Mode:
c60)
dddY
s Overwrite Mode:
c60)
dddd
s Inserting Input into...
User Guide - Page 16
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![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_16_0918.png)
... impossible if you press =, press d or e. k Inputting with Math Format
When inputting with Math format, you input 14 ÷ 0 × 2 = by pressing A, which clears the calculation.
Further input will display the part of 14 ÷ 10 × 2 = Use the insert mode for the following operation. E-14 This will become impossible if...
User Guide - Page 17
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_17_dd9f.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_17_dd9f.png)
... Fraction Mixed Fraction log(a,b) (Logarithm) 10^x (Power of 10) e^x (Power of e) Square Root Cube Root Square, Cube Reciprocal Power Power Root Integral Derivative Σ Calculation Absolute Value Parentheses
Key Operation ' 1'(() & 1l($) 1i(%) ! 1!(#) w, 1w(x3) E 6 16(") 7 17(F) 1&(8) 1w(Abs) ( or )
Bytes 9 13 6 4 4 4 9 4 5 4 9 8 6 8 4 1
Math Format Input Examples • The following...
User Guide - Page 18
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... to use them.
This incorporates the expression in the Example 3 screen shot. Example 3: To input (1 + 2 )2 × 2 =
5
MATH
Math
(1+'2c5e)
w*2=
• When you press = and obtain a calculation result using Math format, you can incorporate part of 1 + (2 + 3) + 4 into the ' function
MATH
Math
Move the cursor to here.
Incorporating a Value into a Function When using...
User Guide - Page 19
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_19_5ea9.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_19_5ea9.png)
... decimal values (no irrational number form) regardless of whether you can specify whether calculation results should be displayed in a Form that Includes '2, π, etc. (Irrational Number Form)
When... "MthIO" is selected for the input/output format, calculation results are the same as those for the input/output format, you press = or 1=.
• ...
User Guide - Page 20
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![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_20_103d.png)
...like those shown
below.
± a'b , ± d ± a'b , ± a'b ± d'e cf
E-18 Complex number Abs calculations
d.
Trigonometric function calculations
c.
k ' Form Calculation Range
Note
When performing complex number calculations in decimal form for display of trigonometric calculation results. Angle Unit Setting Deg Rad
Gra
Angle Value Input
Units of 15°
Multiples...
User Guide - Page 31
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_31_05ff.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_31_05ff.png)
... appears for B.) The following types of approximation to solve an equation that contains an integral, derivative, Σ( function, Pol( function, Rec( function, or
multi-statement. s (or=)
10=
• To exit CALC, press A. • If the expression you specify otherwise, an equation is solved for Y.); Appendix
Calculate an +1 = an + 2n (a1 = 1) as XY + C = 0.)
•...
User Guide - Page 32
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![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_32_53f6.png)
... value of Y
Math
0=
Math
1=
Math
y2=
Current value of the solution variable. If this happens, try changing the initial value of the solution variable. • SOLVE may not be able to obtain a solution because of the initial
value (assumed value) of X
Math
=
Solution Screen • To interrupt an ongoing...
User Guide - Page 33
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![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_33_3902.png)
...- The closer this value is to zero, the higher is assigned to the solution variable. Continue Screen SOLVE performs convergence a preset number of times. x + 1 for the following types of functions. - A... of the obtained solution. E-31
A periodic function (y = sin(x), etc.) - • SOLVE uses Newton's Method, so even if there are multiple solutions, only one of them will be...
User Guide - Page 57
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_57_20dd.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_57_20dd.png)
... through show examples of calculations with Three Unknowns
Quadratic Equation
Cubic Equation
Changing the Current Equation Type Setting Press N5(EQN) to the original number base.
Key
Menu Item
1 anX + bnY = cn
2 anX + bnY + cnZ = dn
3 aX2 + bX + c = 0 4 aX3 + bX2 + cX + d = 0
Equation Type
Simultaneous Linear Equations with Two Unknowns
Simultaneous Linear Equations with...
User Guide - Page 58
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_58_13d1.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_58_13d1.png)
Simultaneous linear equations with two unknowns
Cubic equation
Rules for the equation. • Each press of = displays the next solution... the solution(s) for Inputting and Editing Coefficients • Data you can input in the COMP Mode with three unknowns or cubic equation is one. Coefficient Editor Screen Input Precautions Coefficient editor screen precautions are the same as those ...
User Guide - Page 72
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_72_3d25.png)
![](/manualimages/3/b/casio-fx991es-user-guide-ad493aa_72_3d25.png)
... input without the ending condition being fulfilled.
• Action • Try increasing the tol value. Can't Solve Error (SOLVE feature only) • Cause
• The calculator could not obtain a solution. • Action
• Check for errors in the equation you input.
• Action • The equation you input must include an X ...
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