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If a, b, c are real numbers such that ac ≠ 0, then show that at least one of the equations ax2 + bx + c = 0 and −ax2 + bx + c = 0 has real roots.

Answer» If a, b, c are real numbers such that ac ≠ 0, then show that at least one of the equations ax2 + bx + c = 0 and −ax2 + bx + c = 0 has real roots.


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