Find \(x\) in terms of \(a\), \(b\) and \(c\)

Algebra Level pending

Real numbers \(x\), \(y\), \(z\), \(a\), \(b\) and \(c\) are such that

\[\large yz+zx+xy=a^2 - x^2=b^2 - y^2=c^2 - z^2\]

Solve for \(x\) in terms of \(a\), \(b\) and \(c\).

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