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1979 IMO Shortlist
6
Find the real values of p
Find the real values of p
Source:
September 15, 2010
parametric equation
IMO Shortlist
IMO 1979
Problem Statement
Find the real values of
p
p
p
for which the equation
2
p
+
1
−
x
2
+
3
x
+
p
+
4
=
x
2
+
9
x
+
3
p
+
9
\sqrt{2p+ 1 - x^2} +\sqrt{3x + p + 4} = \sqrt{x^2 + 9x+ 3p + 9}
2
p
+
1
−
x
2
+
3
x
+
p
+
4
=
x
2
+
9
x
+
3
p
+
9
in
x
x
x
has exactly two real distinct roots.(
t
\sqrt t
t
means the positive square root of
t
t
t
).
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