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Mathematics
Problem
For what values of
a
a
a
do the curves
y
=
a
x
2
+
2
x
+
1
y = ax^2 + 2x + 1
y
=
a
x
2
+
2
x
+
1
and
y
=
−
x
2
+
a
x
−
1
y = -x^2 + ax - 1
y
=
−
x
2
+
a
x
−
1
: a. meet twice b. touch c. never meet?
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