System of equations
Source: Vietnam NMO 1999, problem 1
September 6, 2008
algebrasystem of equationsalgebra proposed
Problem Statement
Solve the system of equations:
(1\plus{}4^{2x\minus{}y}).5^{1\minus{}2x\plus{}y}\equal{}1\plus{}2^{2x\minus{}y\plus{}1}
y^3\plus{}4x\plus{}ln(y^2\plus{}2x)\plus{}1\equal{}0