What are all ordered pairs of integers $$\((x, y)\)$$ that satisfy $$\(5 x^{3}+2 x y-23=0\)$$ ?
A.
\((1,9),(-1,-14),(23,-1322)\)
B.
\((1,9),(-23,-1323)\)
C.
\((1,9),(-1,-14)\)
D.
\((1,9),(-1,-14),(23,-1322),(-23,-1323)\)
Exam No：2018 First Round Grades 10-12 Year：2018 Question No：22
Answer:
D
Knowledge points:
G10-12 - Number Theory - Diophantine Equations
Solution:
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