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若方程x∧2-2(m+1)x+3m∧2-4mn+4n∧2+2=0有实根,那么实数m,n的值分别是多少
人气:476 ℃ 时间:2020-05-09 20:45:15
解答
若方程x∧2-2(m+1)x+3m∧2-4mn+4n∧2+2=0有实根,则有:Δ≥0即:4(m+1)²-4(3m²-4mn+4n²+2)≥0(m+1)²-(3m²-4mn+4n²+2)≥0m²+2m+1-3m²-4mn-4n²-2≥0-m²+2m-1-m...
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