MathDB
Problems
Contests
National and Regional Contests
Russia Contests
Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
10.4
x+\sqrt{x^2-9} = 2(x+3)/(x-3)^2 (V Soros Olympiad 1998-99 Round 2 10.4)
x+\sqrt{x^2-9} = 2(x+3)/(x-3)^2 (V Soros Olympiad 1998-99 Round 2 10.4)
Source:
May 25, 2024
algebra
Problem Statement
Solve the equation
x
+
x
2
−
9
=
2
(
x
+
3
)
(
x
−
3
)
2
x + \sqrt{x^2-9} = \frac{2(x+3)}{(x-3)^2}
x
+
x
2
−
9
=
(
x
−
3
)
2
2
(
x
+
3
)
Back to Problems
View on AoPS