数学题.麻烦给出详细步骤.谢谢大家关于X的方程,K²X²+2(K-2)X+1=0有两个不相等实根X1,X2(1)求K的取值范围(2)是否存在实数K,使方程两根互为相反数,若存在,求出K.
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![数学题.麻烦给出详细步骤.谢谢大家关于X的方程,K²X²+2(K-2)X+1=0有两个不相等实根X1,X2(1)求K的取值范围(2)是否存在实数K,使方程两根互为相反数,若存在,求出K.](/uploads/image/z/1637673-33-3.jpg?t=%E6%95%B0%E5%AD%A6%E9%A2%98.%E9%BA%BB%E7%83%A6%E7%BB%99%E5%87%BA%E8%AF%A6%E7%BB%86%E6%AD%A5%E9%AA%A4.%E8%B0%A2%E8%B0%A2%E5%A4%A7%E5%AE%B6%E5%85%B3%E4%BA%8EX%E7%9A%84%E6%96%B9%E7%A8%8B%2CK%26sup2%3BX%26sup2%3B%2B2%28K-2%29X%2B1%3D0%E6%9C%89%E4%B8%A4%E4%B8%AA%E4%B8%8D%E7%9B%B8%E7%AD%89%E5%AE%9E%E6%A0%B9X1%2CX2%EF%BC%881%EF%BC%89%E6%B1%82K%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%882%EF%BC%89%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E5%AE%9E%E6%95%B0K%2C%E4%BD%BF%E6%96%B9%E7%A8%8B%E4%B8%A4%E6%A0%B9%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E8%8B%A5%E5%AD%98%E5%9C%A8%2C%E6%B1%82%E5%87%BAK.)
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