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1
VMO 2010-System equation
VMO 2010-System equation
Source:
December 1, 2010
algebra
polynomial
algebra unsolved
Problem Statement
Solve the system equations
{
x
4
−
y
4
=
240
x
3
−
2
y
3
=
3
(
x
2
−
4
y
2
)
−
4
(
x
−
8
y
)
\left\{\begin{array}{cc}x^{4}-y^{4}=240\\x^{3}-2y^{3}=3(x^{2}-4y^{2})-4(x-8y)\end{array}\right.
{
x
4
−
y
4
=
240
x
3
−
2
y
3
=
3
(
x
2
−
4
y
2
)
−
4
(
x
−
8
y
)
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