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1
Equation with real numbers
Equation with real numbers
Source: Moldova TST 2011, day 1, problem 1
March 8, 2011
calculus
derivative
inequalities
algebra unsolved
algebra
Problem Statement
Find all real numbers
x
,
y
x, y
x
,
y
such that:
y
+
3
x
+
2
=
23
2
+
y
2
−
49
−
16
x
y+3\sqrt{x+2}=\frac{23}2+y^2-\sqrt{49-16x}
y
+
3
x
+
2
=
2
23
+
y
2
−
49
−
16
x
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