当m取何值时,不论x取何值分式(x-1)/(-2x²+12x-18+m)总有意义
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![当m取何值时,不论x取何值分式(x-1)/(-2x²+12x-18+m)总有意义](/uploads/image/z/14298395-59-5.jpg?t=%E5%BD%93m%E5%8F%96%E4%BD%95%E5%80%BC%E6%97%B6%2C%E4%B8%8D%E8%AE%BAx%E5%8F%96%E4%BD%95%E5%80%BC%E5%88%86%E5%BC%8F%28x-1%29%2F%28-2x%26%23178%3B%2B12x-18%2Bm%29%E6%80%BB%E6%9C%89%E6%84%8F%E4%B9%89)
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当m取何值时,不论x取何值分式(x-1)/(-2x²+12x-18+m)总有意义
当m取何值时,不论x取何值分式(x-1)/(-2x²+12x-18+m)总有意义
当m取何值时,不论x取何值分式(x-1)/(-2x²+12x-18+m)总有意义
(-2x²+12x-18+m)
=-2(x²-6x+9)+m
= -2(x-3)²+m
∵-2(x-3)²<=0
∴要使总有意义
只需要-2(x-3)²+m<0
∴m<0