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39
Number of tangents to y=x^3-3x and y=x^3+px
Number of tangents to y=x^3-3x and y=x^3+px
Source:
December 7, 2010
geometry unsolved
geometry
Problem Statement
How many tangents to the curve
y
=
x
3
−
3
x
(
y
=
x
3
+
p
x
)
y = x^3-3x\:\: (y = x^3 + px)
y
=
x
3
−
3
x
(
y
=
x
3
+
p
x
)
can be drawn from different points in the plane?
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