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1954 Moscow Mathematical Olympiad
272
MMO 272 Moscow MO 1954 x^2 + 2x sin (xy) + 1 = 0
MMO 272 Moscow MO 1954 x^2 + 2x sin (xy) + 1 = 0
Source:
August 13, 2019
trigonometry
equation
algebra
Problem Statement
Find all real solutions of the equation
x
2
+
2
x
sin
(
x
y
)
+
1
=
0
x^2 + 2x \sin (xy) + 1 = 0
x
2
+
2
x
sin
(
x
y
)
+
1
=
0
.
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