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If the equation ax^2 + 2bx + c = 0 and x...

If the equation `ax^2 + 2bx + c = 0 and x^2 + 2p^2x + 1 = 0` have one common root and `a, b, c` are in `AP(p^2 != 1)`,then the roots of the equation `x^2 + 2p^2x + 1 = 0` are

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