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Mathematics
Problem
The curve
y
=
x
2
−
5
x
+
6
y = x^{2} - 5x + 6
y
=
x
2
−
5
x
+
6
has tangents parallel to the line
y
=
3
x
−
4
y = 3x - 4
y
=
3
x
−
4
at which of the following points? a)
(
7
3
,
−
2
9
)
\left(\dfrac{7}{3},\,-\dfrac{2}{9}\right)
(
3
7
,
−
9
2
)
b)
(
4
,
2
)
(4, 2)
(
4
,
2
)
c)
(
4
,
0
)
(4, 0)
(
4
,
0
)
d)
(
1
2
,
15
4
)
\left(\dfrac{1}{2},\,\dfrac{15}{4}\right)
(
2
1
,
4
15
)
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