Given that \(x^4+(1-2k)x^2+k^2-1=0\), where \(k\) is **real**, has **no real roots** when \(x^2\) is imaginary or \(x^2<0\) and has **real roots** when \(x^2\ge 0\).

Find the range of \(k\), when the equation has **four real roots**.

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