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Mathematics
Mathematics
Problem
If the tangent to the curve
y
=
x
3
−
x
2
+
x
y=x^3-x^2+x
y
=
x
3
−
x
2
+
x
at the point
(
a
,
b
)
(a, b)
(
a
,
b
)
is also tangent to the curve
y
=
5
x
2
+
2
x
−
25
y=5x^2+2x-25
y
=
5
x
2
+
2
x
−
25
at the point
(
2
,
−
1
)
(2, -1)
(
2
,
−
1
)
, then
∣
2
a
+
9
b
∣
|2a+9b|
∣2
a
+
9
b
∣
is equal to _____.
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