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2019 New Zealand MO
2
(x^2 + 3x + 1)^{x^2-x-6} = 1
(x^2 + 3x + 1)^{x^2-x-6} = 1
Source: New Zealand MO 2019 Round 1 p2
September 20, 2021
algebra
Problem Statement
Find all real solutions to the equation
(
x
2
+
3
x
+
1
)
x
2
−
x
−
6
=
1
(x^2 + 3x + 1)^{x^2-x-6} = 1
(
x
2
+
3
x
+
1
)
x
2
−
x
−
6
=
1
.
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