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2
\sqrt{x-1}+\sqrt{x^2-1}=\sqrt{x^3}
\sqrt{x-1}+\sqrt{x^2-1}=\sqrt{x^3}
Source: 1990 Greece MO Grade XI p2
September 6, 2024
algebra
Radicals
Problem Statement
Find all real solutions of
x
−
1
+
x
2
−
1
=
x
3
\sqrt{x-1}+\sqrt{x^2-1}=\sqrt{x^3}
x
−
1
+
x
2
−
1
=
x
3
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