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19
2017 preRMO p19, 1,2,3 roots of x^4 + ax^2 + bx = c
2017 preRMO p19, 1,2,3 roots of x^4 + ax^2 + bx = c
Source:
August 9, 2019
algebra
roots
polynomial
Problem Statement
Suppose
1
,
2
,
3
1, 2, 3
1
,
2
,
3
are the roots of the equation
x
4
+
a
x
2
+
b
x
=
c
x^4 + ax^2 + bx = c
x
4
+
a
x
2
+
b
x
=
c
. Find the value of
c
c
c
.
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