解方程7除以X的2次方+X+1除以X的2次方-X=6除以X的2次
7除以X的2次方+X + 1除以X的2次方-X = 6除以X的2次方-1
7除以X的2次方+X + 1除以X的2次方-X = 6除以X的2次方-1 不知道理解错了没!等式如下: [7/(x^2+x)]+[1/(x^2-x)]=[6/(x^2-1)] ===> [7/x(x+1)]+[1/x(x-1)]=[6/(x+1)(x-1)] ===> [7(x-1)/x(x+1)(x-1)]+[(x+1)/x(x+1)(x-1)]=[6x/x(x+1)(x-1)](通分,公分母为:x(x+1)(x-1)) ===> 7(x-1)+(x+1)=6x(方程两边同乘以上述公分母) ===> 7x-7+x+1=6x ===> 8x-6=6x ===> 2x=6 ===> x=3 经检验,x=3是原方程的解。(左右两边均等于3/4)