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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 – 2y – 2z = 20
Quadratic or Cubic Equations
Quadratic equation : ax
Cubic equation
Example: Solve the cubic equation 5x
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
Operation
2
+ bx + c = 0 (a second-order polynomial
equation in a single variable x)
: ax
3
+ bx
polynomial)
Operation
1
2
3
Display (Upper)
2
+ cx + d = 0 (an equation with cubic
3
+ 2x
Display (Upper)
42
Display (Lower)
2
– 2x+1 = 0
Display (Lower)
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