Lill's Graphic Solution of a Quadratic Equation
Lill's Graphic Solution of a Quadratic Equation
This Demonstration shows Lill's graphic method for solving a quadratic equation. The value is a root of the equation if and only if . In this case, the point ' is on a circle with diameter .
z
P(z)=0
'=0
L
3
L
2
L
1
OL
3
Special case: the golden ratio is the positive root of the equation -z-1=0.
2
z