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Simultaneous Linear Equations
Two Unknowns Simultaneous Linear Equation:
a
a
Three Unknowns Simultaneous Linear Equation:
a
a
a
Example: Solve the simultaneous equation with three unknowns:
2x + 4y – 4z = 20
2x – 2y + 4z = 8
5x Ð 2y – 2z = 20
Operation
3
3 (3 unknowns)
2
4
2
2
5
2
(return to input screen)
Quadratic or Cubic Equations
Quadratic equation : ax
Cubic equation
Example: Solve the cubic equation 5x
Operation
3
3 (Cubic equation)
5
2
x + b
y = c
1
1
1
x + b
y = c
2
2
2
x + b
y + c
z = d
1
1
1
x + b
y + c
z = d
2
2
2
x + b
y + c
z = d
3
3
3
4
20
4
8
2
20
2
+ bx + c = 0 (a second-order polynomial
equation in a single variable x)
: ax
3
+ bx
polynomial)
2
1
1
2
3
Display (Upper)
Unknowns?
a1?
a2?
a3?
x =
y =
z =
a1?
2
+ cx + d = 0 (an equation with cubic
3
+ 2x
Display (Upper)
Degree?
a?
x1 =
x2 =
x2 =
x3 =
x3 =
- 99 -
Display (Lower)
2
3
2
– 2x+1 = 0
Display (Lower)
2
3
0.331662479
- 0.331662479
0.
0.
0.
5.5
3.
0.75
2.
0.
-1.
0.3
i
0.3
i
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