已知x²-4x+y²-10y+29=0求x²+2x³y²+x̾
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/26 13:10:21
已知x²-4x+y²-10y+29=0求x²+2x³y²+x⁴y²的值
![已知x²-4x+y²-10y+29=0求x²+2x³y²+x̾](/uploads/image/z/4696941-21-1.jpg?t=%E5%B7%B2%E7%9F%A5x%26%23178%3B-4x%2By%26%23178%3B-10y%2B29%3D0%E6%B1%82x%26%23178%3B%2B2x%26%23179%3By%26%23178%3B%2Bx%26%23830)
x²-4x+y²-10y+29=0x²-4x+4+y²-10y+25=0(x-2)²+(y-5)²=0x-2=0 y-5=0x=2 y=5于是x²+2x³y²+x⁴y²=x²(1+2xy²+x²y²)=2²×(1+2×2×5²+2²×5²)=4×(1+100+100)=804
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