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Northern Summer Camp Of Mathematics
2011 Northern Summer Camp Of Mathematics
1
System of equations [Vietnam Northern Camp, 2011 - P1]
System of equations [Vietnam Northern Camp, 2011 - P1]
Source:
August 15, 2011
trigonometry
algebra
Problem Statement
Solve the system of equations
(
x
+
x
2
+
1
)
(
y
+
y
2
+
1
)
=
1
,
(x+\sqrt{x^2+1})(y+\sqrt{y^2+1})=1,
(
x
+
x
2
+
1
)
(
y
+
y
2
+
1
)
=
1
,
y
+
y
x
2
−
1
+
35
12
=
0.
y+\frac{y}{\sqrt{x^2-1}}+\frac{35}{12}=0.
y
+
x
2
−
1
y
+
12
35
=
0.
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