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2009 Swedish Mathematical Competition
2
(1+x^2) (1+x^3) (1+x^5)=8x^5
(1+x^2) (1+x^3) (1+x^5)=8x^5
Source: 2009 Swedish Mathematical Competition p2
April 27, 2021
algebra
equation
Problem Statement
Find all real solutions of the equation
(
1
+
x
2
)
(
1
+
x
3
)
(
1
+
x
5
)
=
8
x
5
\left(1+x^2\right)\left(1+x^3\right)\left(1+x^5\right)=8x^5
(
1
+
x
2
)
(
1
+
x
3
)
(
1
+
x
5
)
=
8
x
5
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