Question

已知集合A等于{a,b加a,a加2b},B等于{a,ac,ac中c的平方},若A等于B,求C的值. 要解答过程.

Answer 1

a必等于a,

若a + b = a c,a + 2 b = a c c,

解得b = 0,c = 1,

A等于{a,a,a},不满足集合中元素的互异性.舍去.

若a + 2 b = a c,a + b = a c c,

解得b = -(3 a)/4,c = -1/2,

另外一组解b = 0,c = 1,舍去.