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18
BMT 2021 Guts Round p18
BMT 2021 Guts Round p18
Source:
October 7, 2022
algebra
Problem Statement
The equation
x
−
3
8
3
−
3
8
3
=
x
3
+
3
8
\sqrt[3]{\sqrt[3]{x - \frac38} - \frac38} = x^3+ \frac38
3
3
x
−
8
3
−
8
3
=
x
3
+
8
3
has exactly two real positive solutions
r
r
r
and
s
s
s
. Compute
r
+
s
r + s
r
+
s
.
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