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1st ibmo - colombia 1985./q4

Source: Spanish Communities

April 6, 2006
Columbiaalgebra unsolvedalgebra

Problem Statement

If x1 x\neq1, y1 y\neq1, xy x\neq y and \frac{yz\minus{}x^{2}}{1\minus{}x}\equal{}\frac{xz\minus{}y^{2}}{1\minus{}y} show that both fractions are equal to x\plus{}y\plus{}z.