已知关于x的方程x²-2(k-1)x+k²=0有两个实数根x1 x2,且/x1+x2/=x1x2-1,求k的值绝对值用/
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![已知关于x的方程x²-2(k-1)x+k²=0有两个实数根x1 x2,且/x1+x2/=x1x2-1,求k的值绝对值用/](/uploads/image/z/985952-56-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%85%B3%E4%BA%8Ex%E7%9A%84%E6%96%B9%E7%A8%8Bx%26%23178%3B-2%28k-1%29x%2Bk%26%23178%3B%3D0%E6%9C%89%E4%B8%A4%E4%B8%AA%E5%AE%9E%E6%95%B0%E6%A0%B9x1+x2%2C%E4%B8%94%2Fx1%2Bx2%2F%3Dx1x2-1%2C%E6%B1%82k%E7%9A%84%E5%80%BC%E7%BB%9D%E5%AF%B9%E5%80%BC%E7%94%A8%2F)
已知关于x的方程x²-2(k-1)x+k²=0有两个实数根x1 x2,且/x1+x2/=x1x2-1,求k的值绝对值用/
已知关于x的方程x²-2(k-1)x+k²=0有两个实数根x1 x2,且/x1+x2/=x1x2-1,求k的值
绝对值用/
已知关于x的方程x²-2(k-1)x+k²=0有两个实数根x1 x2,且/x1+x2/=x1x2-1,求k的值绝对值用/
x1+x2=2(k-1)
x1*x2=k2
|2k-1|=k2-1
2k-1≥0,2k-1=k2-1 k=2,0 舍去0,k=2
2k-1<0,1-2k=k2-1 k2+2k-2=0 k=1-√3