# Fourth Power of Roots

Algebra Level 3

If the equation $$x^2$$ - cx + d = 0 has roots equal to the fourth power of the roots of $$x^{2}$$ + ax + b = 0, where $$a^{2}$$ > 4b, then the roots of $$x^{2}$$ - 4bx + 2$$b^{2}$$ - c = 0 will be

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