已知实数x和y满足5x方-3xy+1/2y方-2x+1/2y+1/4=0 求x与y的值
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![已知实数x和y满足5x方-3xy+1/2y方-2x+1/2y+1/4=0 求x与y的值](/uploads/image/z/2491899-51-9.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0x%E5%92%8Cy%E6%BB%A1%E8%B6%B35x%E6%96%B9-3xy%2B1%2F2y%E6%96%B9-2x%2B1%2F2y%2B1%2F4%3D0+%E6%B1%82x%E4%B8%8Ey%E7%9A%84%E5%80%BC)
已知实数x和y满足5x方-3xy+1/2y方-2x+1/2y+1/4=0 求x与y的值
已知实数x和y满足5x方-3xy+1/2y方-2x+1/2y+1/4=0 求x与y的值
已知实数x和y满足5x方-3xy+1/2y方-2x+1/2y+1/4=0 求x与y的值
5x²-3xy+1/2y²-2x+1/2y+1/4=0
两边乘以2得:
10x²-6xy+y²-4x+y+1/2=0
配方得:
(3x-y-1/2)²+(x-1/2)²=0
∴必有3x-y-1/2=0
x-1/2=0
解得 x=1/2,y=1.