19a的平方+150ab+19b的平方=2012
19(a+b)^2+112ab=2012
19(4n+2)^2+112=2012
19(4n+2)^2=1900
(4n+2)^2=100
4n+2=±10
4n+2=10,4n+2=-10
n=2,n=-3