Concept:
The graphs of two linear functions with different slopes are guaranteed to cross exactly once. If either function is nonlinear, the graphs cross once, more than once, or not at all.
Systems of Nonlinear Equations
Intersection of
Enter the coefficients of the line and parabola in the spaces below:
line: y =
x +
a1:
a0:
parabola: y =
x2 +
x +
a2:
a1:
a0:
points of intersection:
(, ),
(, )
Enter the coefficients of the parabolas in the spaces below:
parabola 1: y =
x2 +
x +
a2:
a1:
a0:
parabola 2: y =
x2 +
x +
a2:
a1:
a0:
points of intersection:
(, ),
(, )
Enter the centers and radii of the circles in the spaces below:
circle 1: (x –
)2 + (y –
)2 =
2
h1:
k1:
r1:
circle 2: (x –
)2 + (y –
)2 =
2
h2:
k2:
r2:
points of intersection:
(, ),
(, )
Enter the coefficients of the line and the cubic in the spaces below:
line: y =
x +
a1:
a0:
cubic: y =
x3 +
x2 +
x +
a3:
a2:
a1:
a0:
points of intersection:
(, ),
(, ),
(, )
Enter the coefficients of the parabola and the cubic in the spaces below:
parabola: y =
x2 +
x +
a2:
a1:
a0:
cubic: y =
x3 +
x2 +
x +
a3:
a2:
a1:
a0:
points of intersection:
(, ),
(, ),
(, )
