User Manual

COMPLEX NUMBER CALCULATIONS
To carry out addition, subtraction, multiplication, and division using
complex numbers, press m1 to select the complex number
mode.
There are two modes of expression of the results of complex
number calculations.
Q Rectangular coordinate mode. (xy appears on the display.)
@}
W Polar coordinate mode. (
r θ appears on the display.)
@{
Complex number entry
Q Rectangular coordinates
x-coordinate + y-coordinate Ü
or
x-coordinate + Ü y-coordinate
W Polar coordinates
r Ö θ
r: absolute value
θ: argument
• Upon changing to another mode, the imaginary portion of any
complex number stored in the independent memory (M) will be
cleared.
•A complex number expressed in rectangular coordinates with
the y-value equal to zero, or expressed in polar coordinates with
the angle equal to zero, is treated as a real number.
(12–6i) + (7+15i) m1 12 - 6 Ü+ 7 + 15 Ü
– (11+4i) = -( 11 + 4 Ü)= [x] 8.
û [y] 5.
ù [x] 8.
6×(7–9i) × 6 *( 7 - 9 Ü)*
(–5+8i) = ( 5 ±+ 8 Ü)= [x] 222.
û [y] 606.
16×(sin30°+ 16 *(s 30 +Üu 30 )
icos30°)÷(sin60°+ /(s 60 +Üu 60
icos60°)= )= [x] 13.85640646
û [y] 8.
@{ 8 Ö 70 + 12 Ö 25
= [r] 18.5408873
û [θ] 42.76427608
r1 = 8, θ1 = 70°
r2 = 12, θ2 = 25°
↓
r = ?, θ = ?°
+
+
i
i
m2
1 ® 1 ® 1 ±® 9 ®
6 ® 6 ® 1 ±® 17 ®
14 ® 7 ±® 2 ® 42
x = ? ® [x]
3.238095238
y = ? ® [y] –1.638095238
z = ? ® [z] –7.4
det(D) = ? ® [det(D)] 105.
If the coefficients c1, c2 and c3 as well as a3 – d3 are set to zero, the
problem is treated as a 2-dimensional simultaneous equation. The
x and y values as well as the determinant can be retrieved.
y
x
A
B
r
r
2
θ1
θ2
r1
θ
i
∠
+
@c 2 ® 3 ®® 4 ®
5 ® 6 ®® 7 ®
x = ? ®®®® [x] –1.
y = ? ® [y] 2.
det(D) = ? ® [det(D)] –3.
STATISTICAL CALCULATIONS
Statistical calculations are performed in the statistics mode.
Press m3 to select the statistics mode.
This calculator performs the seven statistical calculations indicated
below. After selecting the statistics mode, select the desired
submode by pressing the number key corresponding to your choice.
When changing to the statistical submode, press the correspond-
ing number key after performing the operation to select the statis-
tics mode (press m3).
0 (STAT 0) : Single-variable statistics
1 (STAT 1) : Linear regression calculation
2 (STAT 2) : Quadratic regression calculation
3 (STAT 3) : Exponential regression calculation
4 (STAT 4) : Logarithmic regression calculation
5 (STAT 5) : Power regression calculation
6 (STAT 6) : Inverse regression calculation
The following statistics can be obtained for each statistical calcula-
tion (refer to the table below):
Notes: • If the determinant D = 0, an error occurs.
• If the absolute value of an intermediate result or calcu-
lation result is 1 × 10
100
or more, an error occurs.
a1x + b1y + c1z = d1
a2x + b2y + c2z = d2
a3x + b3y + c3z = d3
a1 b1 c1
a2 b2 c2
a3 b3 c3
D =
SIMULTANEOUS LINEAR EQUATIONS
WITH THREE UNKNOWNS
To solve simultaneous linear equations with three unknowns, press
m2 to select the 3-VLE mode.
Simultaneous Linear Equations with Three Unknowns:
Performing Calculations
Q Press m2.
W Enter each coefficient from a1 to d3 followed by ®, as
prompted on the display.
E Upon pressing ® after entering d3, the solution for x will be
displayed. Subsequent pressing will cycle through the values of
y, z and the determinant D.
• Coefficients can be entered using ordinary arithmetic operations.
• To clear the entered coefficients, press @c.
Note: Pressing ® when the determinant D is in the display
recalls the coefficients. Each time ® is pressed, a coeffi-
cient is displayed in the order of input, allowing the entered
coefficients to be verified. (by pressing @® or
@', coefficients are displayed in reverse order.)
To correct a particular coefficient being displayed, enter the
correct value and then press ®.
x Mean of samples (x data)
sx Sample standard deviation (x data)
Q σ x Population standard deviation (x data)
n Number of samples
Σ x Sum of samples (x data)
Σ x
2
Sum of squares of samples (x data)
y Means of samples (y data)
sy Sample standard deviation (y data)
σ y Population standard deviation (y data)
Σ y Sum of samples (y data)
W Σ y
2
Sum of squares of samples (y data)
Σ xy Sum of products of samples (x, y)
r Correlation coefficient
a Coefficient of regression equation
b Coefficient of regression equation
c Coefficient of quadratic regression equation
Single-variable statistical calculation:
Statistics of Q and value of the normal probability function
Linear regression calculation:
Statistics of Q and W and, in addition, estimate of y for a given x
(estimate y´) and estimate of x for a given y (estimate x´)
Exponential regression, Logarithmic regression,
power regression, and inverse regression calculation:
Statistics of Q and W. In addition, estimate of y for a given x and
estimate of x for a given y. (Since the calculator converts each
formula into a linear regression formula before actual calculation
takes place, it obtains all statistics, except coefficients a and b, from
converted data rather than entered data.)
Quadratic regression calculation:
Statistics of Q and W and coefficients a, b, c in the quadratic
regression formula (y = a + bx + cx
2
). (For quadratic regression
calculations, no correlation coefficient (r) can be obtained.)
When performing calculations using a, b and c, only one numeric
value can be held.
∠
i
–
i
–
(1 + i) @} 1 +Ü= 1.
↓ @{ [r] 1.414213562
r = ?, θ = ?° û [θ] 45.
@}( 2 - 3 Ü)L
(2 – 3i)
2
= = [x] –5.
û [y] 12.
1
=
( 1 +Ü)@•= [x]
0.5
1 + i û [y] 0.5
x + y – z =9
6x+6y – z =17
14x–7y+2z =42






2x + 3y = 4
5x + 6y = 7