Its part 2...

Algebra Level 5

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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