1.A ^ 2B ^ 2 + A ^ 2 + B ^ 2 +1 = 4AB
^ 2 + B ^ 2-2AB + A ^ 2B ^ 2 +1-2 AB = 0
(A-B)^ 2 +(AB-1)^ 2 = 0
因此,为a = b和ab = 1因此,为a = b = 1的或= b的= -1
2.X ^ 2 + Y ^ 2-14X +2 Y +50 = 0
X ^ 2-14X +49 + Y ^ 2 +2 Y +1 = 0
(X-7)^ 2 +(y +1)的^ 2 = 0
所以X = 7 Y = -1
1.A ^ 2B ^ 2 + A ^ 2 + B ^ 2 +1 = 4AB
^ 2 + B ^ 2-2AB + A ^ 2B ^ 2 +1-2 AB = 0
(A-B)^ 2 +(AB-1)^ 2 = 0
因此,为a = b和ab = 1因此,为a = b = 1的或= b的= -1
2.X ^ 2 + Y ^ 2-14X +2 Y +50 = 0
X ^ 2-14X +49 + Y ^ 2 +2 Y +1 = 0
(X-7)^ 2 +(y +1)的^ 2 = 0
所以X = 7 Y = -1