关于x的一元二次方程x²+(2k-3)x+k²=0有两个不等的实数根A.B.(1)求k的取值范围;(2)若A+B+AB=6.求(A-B)²=3×AB-5的值.
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![关于x的一元二次方程x²+(2k-3)x+k²=0有两个不等的实数根A.B.(1)求k的取值范围;(2)若A+B+AB=6.求(A-B)²=3×AB-5的值.](/uploads/image/z/3705337-1-7.jpg?t=%E5%85%B3%E4%BA%8Ex%E7%9A%84%E4%B8%80%E5%85%83%E4%BA%8C%E6%AC%A1%E6%96%B9%E7%A8%8Bx%26sup2%3B%2B%282k-3%29x%2Bk%26sup2%3B%3D0%E6%9C%89%E4%B8%A4%E4%B8%AA%E4%B8%8D%E7%AD%89%E7%9A%84%E5%AE%9E%E6%95%B0%E6%A0%B9A.B.%281%29%E6%B1%82k%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%3B%282%29%E8%8B%A5A%2BB%2BAB%3D6.%E6%B1%82%28A-B%29%26sup2%3B%3D3%C3%97AB-5%E7%9A%84%E5%80%BC.)
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