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Mathematics
Mathematics
Problem
12. Find the values of
a
,
b
a, b
a
,
b
, and
c
c
c
where the curves
y
=
x
2
+
a
x
+
b
y=x^{2}+a x+b
y
=
x
2
+
a
x
+
b
and
y
=
c
x
+
x
2
y=c x +x^{2}
y
=
c
x
+
x
2
have a common tangent line at
(
−
1
,
0
)
(-1,0)
(
−
1
,
0
)
.
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