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ad ≠ bc, then prove that the equation (a^2 + b^2)x^2 + 2(ac + bd)x + (c^2 + d^2) = 0 has no real roots.

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ad ≠ bc, then prove that the equation (a2 + b2)x2 + 2(ac + bd)x + (c2 + d2) = 0 has no real roots.

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Hence the equation has no real roots.

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