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Let a, b, c be real numbers a ≠ 0. If α is a root of a2x2 + bx + c = 0, β is a root of a2x2 - bx - c = 0 and 0 < α < β, then the equation a2x2 + 2bx + 2c = 0 has a root γ that always satisfies |
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Answer» Let a, b, c be real numbers a ≠ 0. If α is a root of a2x2 + bx + c = 0, β is a root of a2x2 - bx - c = 0 and 0 < α < β, then the equation a2x2 + 2bx + 2c = 0 has a root γ that always satisfies |
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