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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
9.1
2(x-6)=x^2/ (1+\sqrt{x+1})^2 (IV Soros Olympiad 1997-98 R3 9.1)
2(x-6)=x^2/ (1+\sqrt{x+1})^2 (IV Soros Olympiad 1997-98 R3 9.1)
Source:
June 1, 2024
algebra
Radicals
Problem Statement
Solve the equation
2
(
x
−
6
)
=
x
2
(
1
+
x
+
1
)
2
2(x-6)=\dfrac{x^2}{(1+\sqrt{x+1})^2}
2
(
x
−
6
)
=
(
1
+
x
+
1
)
2
x
2
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