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1
(3x+3)/\sqrt{x}} - (x+1)/\sqrt{x^2-x+1} =4
(3x+3)/\sqrt{x}} - (x+1)/\sqrt{x^2-x+1} =4
Source: 2022 Moldova JBMO TST p1
November 4, 2022
algebra
Problem Statement
Solve in the set
R
R
R
the equation
3
x
+
3
x
−
x
+
1
x
2
−
x
+
1
=
4
\frac{3x+3}{\sqrt{x}}-\frac{x+1}{\sqrt{x^2-x+1}}=4
x
3
x
+
3
−
x
2
−
x
+
1
x
+
1
=
4
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