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4
how many solutions
how many solutions
Source:
August 9, 2012
linear algebra
matrix
algebra proposed
algebra
Problem Statement
How many solutions does the system have:
{
(
3
x
+
2
y
)
∗
(
3
x
+
1
y
)
=
2
x
2
+
y
2
≤
2012
\{\begin{matrix}&(3x+2y) *(\frac{3}{x}+\frac{1}{y})=2\\ & x^2+y^2\leq 2012\\ \end{matrix}
{
(
3
x
+
2
y
)
∗
(
x
3
+
y
1
)
=
2
x
2
+
y
2
≤
2012
where
x
,
y
x,y
x
,
y
are non-zero integers
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