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Problems
Mathematics
Mathematics
Problem
Statement I
The equation
f
(
x
)
=
4
x
5
+
20
x
−
9
=
0
f(x) = 4x^5 + 20x - 9 = 0
f
(
x
)
=
4
x
5
+
20
x
−
9
=
0
has only one real root.
Statement II
f
′
(
x
)
=
20
x
4
+
20
=
0
f'(x) = 20x^4 + 20 = 0
f
′
(
x
)
=
20
x
4
+
20
=
0
has no real root.
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