若方程X^2+x+a=0至少有一根为非负实数,求实数a的取值范围参考书答案:用补集的方式求这道题.若方程无非负实根,则有①1-4a < 0或②1-4a >= 0x1 + x2 = -1 < 0x1x2 = a > 0 或③x1 + x2 = -1 > 0x1x2 = a =0韦达
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![若方程X^2+x+a=0至少有一根为非负实数,求实数a的取值范围参考书答案:用补集的方式求这道题.若方程无非负实根,则有①1-4a < 0或②1-4a >= 0x1 + x2 = -1 < 0x1x2 = a > 0 或③x1 + x2 = -1 > 0x1x2 = a =0韦达](/uploads/image/z/2531626-34-6.jpg?t=%E8%8B%A5%E6%96%B9%E7%A8%8BX%5E2%2Bx%2Ba%3D0%E8%87%B3%E5%B0%91%E6%9C%89%E4%B8%80%E6%A0%B9%E4%B8%BA%E9%9D%9E%E8%B4%9F%E5%AE%9E%E6%95%B0%2C%E6%B1%82%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E5%8F%82%E8%80%83%E4%B9%A6%E7%AD%94%E6%A1%88%EF%BC%9A%E7%94%A8%E8%A1%A5%E9%9B%86%E7%9A%84%E6%96%B9%E5%BC%8F%E6%B1%82%E8%BF%99%E9%81%93%E9%A2%98.%E8%8B%A5%E6%96%B9%E7%A8%8B%E6%97%A0%E9%9D%9E%E8%B4%9F%E5%AE%9E%E6%A0%B9%2C%E5%88%99%E6%9C%89%E2%91%A01-4a+%3C+0%E6%88%96%E2%91%A11-4a+%3E%3D+0x1+%2B+x2+%3D+-1+%3C+0x1x2+%3D+a+%3E+0+%E6%88%96%E2%91%A2x1+%2B+x2+%3D+-1+%EF%BC%9E+0x1x2+%3D+a+%3D0%E9%9F%A6%E8%BE%BE)
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