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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
10.4
\sqrt{\sqrt{2x^2+x-3}+2x^2-3}=x (IV Soros Olympiad 1997-98 R3 10.4)
\sqrt{\sqrt{2x^2+x-3}+2x^2-3}=x (IV Soros Olympiad 1997-98 R3 10.4)
Source:
June 2, 2024
algebra
Radicals
Problem Statement
Solve the equation
2
x
2
+
x
−
3
+
2
x
2
−
3
=
x
.
\sqrt{\sqrt{2x^2+x-3}+2x^2-3}=x.
2
x
2
+
x
−
3
+
2
x
2
−
3
=
x
.
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