问题
填空题
将方程4x2-4xy+y2-1=0化成两个一次方程是______.
答案
∵4x2-4xy+y2-1=0
∴(2x-y)2-1=0,
即(2x-y+1)(2x-y-1)=0,
解得2x-y-1=0,2x-y+1=0,
故答案为2x-y-1=0,2x-y+1=0.
将方程4x2-4xy+y2-1=0化成两个一次方程是______.
∵4x2-4xy+y2-1=0
∴(2x-y)2-1=0,
即(2x-y+1)(2x-y-1)=0,
解得2x-y-1=0,2x-y+1=0,
故答案为2x-y-1=0,2x-y+1=0.