已知集合A={XX方+px+q=x},B={x(x-1)方+p(x-1)+q=x+1} 若集合A={2},求集合B

题目

已知集合A={XX方+px+q=x},B={x(x-1)方+p(x-1)+q=x+1} 若集合A={2},求集合B

答案

0=x^2+(p-1)x+q=(x-2)^2
p=-3,q=4
B:(x-1)^2-3(x-1)+4=x+1
s^2-3s+4=s+2
s^2-4s+2=0
s=2+/-根号2
x=3+/-根号2