x^2-2x+1-a(x^2-1)=0(a为常数)解方程,

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x^2-2x+1-a(x^2-1)=0(a为常数)解方程,
x^2-2x+1-a(x^2-1)=0(a为常数)解方程,

x^2-2x+1-a(x^2-1)=0(a为常数)解方程,
x^2-2x+1-a(x^2-1)=0
(x-1)^2-a(x-1)(x+1)=0
(x-1)[(x-1)-a(x+1)]=0
(x-1)[x-1-ax-a]=0
(x-1)[x-ax-1-a]=0
(x-1)[x(1-a)-(1+a)]=0
x1=1
x2=(1+a)/(1-a)

左边分解因式,得(X-1)(X-aX-1-a)=0
解得:X1=1;X2=1+a/1-a(a不等于1)

解不等式ax^2-2x a