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1
1999 Algebra #1: Number of Solutions to Function
1999 Algebra #1: Number of Solutions to Function
Source:
June 21, 2012
function
quadratics
algebra
Problem Statement
If
a
@
b
=
a
3
−
b
3
a
−
b
a@b=\dfrac{a^3-b^3}{a-b}
a
@
b
=
a
−
b
a
3
−
b
3
, for how many real values of
a
a
a
does
a
@
1
=
0
a@1=0
a
@1
=
0
?
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