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anonymous
 one year ago
Solve in real numbers the system of equations: x^3+3y^2+1=4z, y^3+3z^2+1=4x, z^3+3x^2+1=4y
anonymous
 one year ago
Solve in real numbers the system of equations: x^3+3y^2+1=4z, y^3+3z^2+1=4x, z^3+3x^2+1=4y

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1May not give you all the solutions, but as a start I think you may try using the symmetry, \(x=y=z\) : \[x^3+3x^2+1=4x\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Notice that if \(x=a\) is a solution to above equation, then \((a,a,a)\) is a solution to the given system
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