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Part of 2022 Junior Balkan Team Selection Tests - Moldova

Problems(1)

(3x+3)/\sqrt{x}} - (x+1)/\sqrt{x^2-x+1} =4

Source: 2022 Moldova JBMO TST p1

11/4/2022
Solve in the set RR the equation 3x+3x−x+1x2−x+1=4\frac{3x+3}{\sqrt{x}}-\frac{x+1}{\sqrt{x^2-x+1}}=4
algebra