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解方程(一元三次方程)6(X-1)-3(X平方-1)=(X-1)(X平方-1)

题目详情
解方程(一元三次方程)
6(X-1)-3(X平方-1)=(X-1)(X平方-1)
▼优质解答
答案和解析
6(x-1)-3(x^2-1)=(x-1)(x^2-1)6(x-1)=(x-1)(x^2-1)+3(x^2-1)6(x-1)=(x^2-1)(x+2)(x+1)(x-1)(x+2)-6(x-1)=0(x-1)[(x+1)(x+2)-6]=0(x-1)[x^2+3x-4]=0(x-1)[(x+4)(x-1)]=0(x-1)^2(x+4)=0(x-1)^2=0或x+4=0x=1或x=-4