方程2X²+(m²-9)x+m+1=0 ①两根互为倒数,求m的值.②两根互为相反数,求m的值.
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![方程2X²+(m²-9)x+m+1=0 ①两根互为倒数,求m的值.②两根互为相反数,求m的值.](/uploads/image/z/3696793-25-3.jpg?t=%E6%96%B9%E7%A8%8B2X%26%23178%3B%2B%EF%BC%88m%26%23178%3B-9%EF%BC%89x%2Bm%2B1%3D0+%E2%91%A0%E4%B8%A4%E6%A0%B9%E4%BA%92%E4%B8%BA%E5%80%92%E6%95%B0%2C%E6%B1%82m%E7%9A%84%E5%80%BC.%E2%91%A1%E4%B8%A4%E6%A0%B9%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%82m%E7%9A%84%E5%80%BC.)
方程2X²+(m²-9)x+m+1=0 ①两根互为倒数,求m的值.②两根互为相反数,求m的值.
方程2X²+(m²-9)x+m+1=0 ①两根互为倒数,求m的值.②两根互为相反数,求m的值.
方程2X²+(m²-9)x+m+1=0 ①两根互为倒数,求m的值.②两根互为相反数,求m的值.
方程2X²+(m²-9)x+m+1=0
①两根互为倒数,求m的值.
x1x2=1,
韦达定理:
x1x2=c/a=(m+1)/2=1,
m+1=2
m=1;
②两根互为相反数,求m的值.
x1+x2=0,
韦达定理:
x1+x2=-b/a=-(m²-9)/2=0,
m²-9=0
m1=3,m2=-3;
872m