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Mathematics
Mathematics
Problem
The number of distinct real roots of the equation
x
5
(
x
3
−
x
2
−
x
+
1
)
+
x
(
3
x
3
−
4
x
2
−
2
x
+
4
)
−
1
=
0
is
x^5(x^3 - x^2 - x + 1) + x(3x^3 - 4x^2 - 2x + 4) - 1 = 0 \text{ is}
x
5
(
x
3
−
x
2
−
x
+
1
)
+
x
(
3
x
3
−
4
x
2
−
2
x
+
4
)
−
1
=
0
is
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