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Problem
Problem
Find all the values of
x
x
x
that satisfy
(
x
1
2
+
x
3
2
)
2
=
5
x
+
2
x
2
\left(x^{\frac{1}{2}} + x^{\frac{3}{2}}\right)^2 = 5x + 2x^2
(
x
2
1
+
x
2
3
)
2
=
5
x
+
2
x
2
.
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