函数的值问题已知函数f(x)=ax^2+bx(ab≠0),若f(
已知f(x)=ax^2+bx(ab≠0),若f(x1)=f(x2),(x1≠x2)则f(x1+x2)的值是(过程)
解:f(x1)=f(x2),ax1^2+bx1=ax2^2+bx2,a(x1+x2)(x1-x2)=b(x2-x1),a(x1+x2)(x1-x2)+b(x1-x2)=0,(x1-x2)(a(x1+x2)+b))=0,因为x1不等于x2,所以a(x1+x2)+b=0,x1+x2=-b/a f(x1+x2)=a(x1+x2)^2+b(x1+x2)=a(-b/a)^2+(-b^2/a)=0 答毕!