Question

若｜x-y-1｜+3(2x-y+1)²=0,则x³y²=

Answer 1

因为：｜ x - y - 1 | + 3(2x - y + 1)² = 0

要满足上式,必须有：x - y - 1 = 0 2x - y + 1 = 0

解上面两式联立的方程组得：x = -2 ,y = - 3

所以：x³y² = （-2）³×（-3）² = -8 × 9 = - 72

4 × 8^m ×16^m = 2^9

2^2 ×2^3m × 2^4m = 2^9

2^(2 + 3m + 4m) = 2^9

所以 2 +3m + 4m = 9

解得：m = 1