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Soros Olympiad in Mathematics
III Soros Olympiad 1996 - 97 (Russia)
10.1
y = x^4+x^3+ax, has axis // Oy (III Soros Olympiad 1996-97 R1 10.1)
y = x^4+x^3+ax, has axis // Oy (III Soros Olympiad 1996-97 R1 10.1)
Source:
May 29, 2024
geometry
analytic geometry
Problem Statement
At what
a
a
a
does the graph of the function
y
=
x
4
+
x
3
+
a
x
y = x^4+x^3+ax
y
=
x
4
+
x
3
+
a
x
have an axis of symmetry parallel to the axis
O
y
Oy
O
y
?
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