(m-2)x²+2(m-2)x-4≥0的解集为空集,求实数m的取值范围
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(m-2)x²+2(m-2)x-4≥0的解集为空集,求实数m的取值范围
(m-2)x²+2(m-2)x-4≥0的解集为空集,求实数m的取值范围
(m-2)x²+2(m-2)x-4≥0的解集为空集,求实数m的取值范围
(m-2)x²+2(m-2)x-4是一个二次多项式,
(m-2)x²+2(m-2)x-4≥0为空集,
说明(m-2)x²+2(m-2)x-4
当m-2=0时,-4≥0,无解;
当m-2≠0时,
m-2<0,且Δ=4(m-2)^2+16(m-2)=4(m-2)(m+2)<0,
-2