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2016 preRMO p9, 4 b^2 -a^3 where a,b roots of x^2 + x - 3 = 0
2016 preRMO p9, 4 b^2 -a^3 where a,b roots of x^2 + x - 3 = 0
Source:
August 9, 2019
algebra
trinomial
roots
Problem Statement
Let
a
a
a
and
b
b
b
be the roots of the equation
x
2
+
x
ā
3
=
0
x^2 + x - 3 = 0
x
2
+
x
ā
3
=
0
. Find the value of the expression 4 b^2 -a^3.
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