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6
2016 Algebra #6
2016 Algebra #6
Source:
August 6, 2022
2016
Algebra Test
Problem Statement
Compute all real solutions
(
x
,
y
)
(x,y)
(
x
,
y
)
with
x
≥
y
x\geq y
x
≥
y
that satisfy the pair of equations \begin{align*} xy&=5\\ \frac{x^2+y^2}{x+y}&=3. \end{align*}
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