Question

已知集合A＝｛x!x²-px-q＝0｝,B=｛x²+qx-p=0｝且A∩B=｛1｝,求A∪B

Answer 1

1∈A,1-p-q=0

1∈B,1+q-p=0

p=1,q=0

x^2-x=0,A={0,1}

x^2-1=0,B={-1,1}

A∪B={-1,0,1}