数学问题：x2-xy-y2=0,请详细写一下怎么解
2019-05-07
数学问题：x2-xy-y2=0,请详细写一下怎么解
优质解答
∵x²-xy-y²=(x²-xy+y²/4)-y²/4-y²=(x-y/2)²-5y²/4=(x-y/2)²-(√5y/2)²=(x-y/2+√5y/2)(x-y/2-√5y/2)=[x-(1-√5)y/2][x-(1+√5)y/2]x²-xy-y²=0∴[x-(1...
∵x²-xy-y²=(x²-xy+y²/4)-y²/4-y²=(x-y/2)²-5y²/4=(x-y/2)²-(√5y/2)²=(x-y/2+√5y/2)(x-y/2-√5y/2)=[x-(1-√5)y/2][x-(1+√5)y/2]x²-xy-y²=0∴[x-(1...