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Soros Olympiad in Mathematics
III Soros Olympiad 1996 - 97 (Russia)
9.2
\sqrt{x^2-4}+\sqrt{2x^2-7x+5}=a (III Soros Olympiad 1996-97 R3 9.2)
\sqrt{x^2-4}+\sqrt{2x^2-7x+5}=a (III Soros Olympiad 1996-97 R3 9.2)
Source:
May 31, 2024
algebra
Radicals
parameter
Problem Statement
How many solutions, depending on the value of the parameter
a
a
a
, has the equation
x
2
−
4
+
2
x
2
−
7
x
+
5
=
a
?
\sqrt{x^2-4}+\sqrt{2x^2-7x+5}=a ?
x
2
−
4
+
2
x
2
−
7
x
+
5
=
a
?
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