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Help me[homc2011]

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February 16, 2016
algebra

Problem Statement

Suppose that ∣ax2+bx+c∣≥∣x2−1∣|ax^2+bx+c| \geq |x^2-1| for all real numbers x. Prove that ∣b2−4ac∣≥4|b^2-4ac|\geq 4.
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