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31
2015 Guts #31
2015 Guts #31
Source:
August 2, 2022
2015
Guts Test
Problem Statement
Compute the sum of the irrational solutions of the equation
x
2
+
16
x
+
54
x
2
+
11
x
+
35
=
x
2
+
13
x
+
35
x
2
+
14
x
+
54
.
\frac{x^2+16x+54}{x^2+11x+35}=\frac{x^2+13x+35}{x^2+14x+54}.
x
2
+
11
x
+
35
x
2
+
16
x
+
54
=
x
2
+
14
x
+
54
x
2
+
13
x
+
35
.
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