已知6x2-7x2-3y2+14x+y+a=(2x-3y+b)(3x+y+c),确定a b c的值
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![已知6x2-7x2-3y2+14x+y+a=(2x-3y+b)(3x+y+c),确定a b c的值](/uploads/image/z/3760683-51-3.jpg?t=%E5%B7%B2%E7%9F%A56x2-7x2-3y2%2B14x%2By%2Ba%3D%282x-3y%2Bb%29%283x%2By%2Bc%29%2C%E7%A1%AE%E5%AE%9Aa+b+c%E7%9A%84%E5%80%BC)
已知6x2-7x2-3y2+14x+y+a=(2x-3y+b)(3x+y+c),确定a b c的值
已知6x2-7x2-3y2+14x+y+a=(2x-3y+b)(3x+y+c),确定a b c的值
已知6x2-7x2-3y2+14x+y+a=(2x-3y+b)(3x+y+c),确定a b c的值
6x2-7xy-3y2+14x+y+a=(2x-3y+b)(3x+y+c),
14=2c+3b,1=b-3c,a=bc,∴a=4,b=4,c=1.
待定系数法,具体去翻书~~~~~~
两边展开,你会发现同类项的系数存在关联~~~如下
2c+3b=14,-3c+b=1,bc=a解三元一次方程,你因该会吧~~~解得:a=4,b=4.c=1,其余不解释~~~