(1)由xy=-1/2,得2xy=-1
与x²+y²=5/4,两式相加得(x+y)²=1/4
(2)x四次方+y四次方=(x²+y²)²-2x²y²=……
(3)由(x+y)²=1/4,得x+y=……
(x-y)²=x²+y²-2xy+……
故x²-y²=(x+y)(x-y)=……
您会做的!加油!
(1)由xy=-1/2,得2xy=-1
与x²+y²=5/4,两式相加得(x+y)²=1/4
(2)x四次方+y四次方=(x²+y²)²-2x²y²=……
(3)由(x+y)²=1/4,得x+y=……
(x-y)²=x²+y²-2xy+……
故x²-y²=(x+y)(x-y)=……
您会做的!加油!