我本雄鹰
幼苗
共回答了9个问题采纳率：88.9% 举报
y2＋zx＝x2 => z=(x^2-y^2)/x
代入x2＋yz＝z2
=> x^4+xy(x^2-y^2)=(x^2-y^2)^2
=> x^4+x^3y-xy^3=x^4+y^4-2x^2y^2
=> x^3-xy^2-y^3+2x^2y=0
z2^＋xy-y^2=x^2＋yz＋xy-y^2
=x^2＋y(x^2-y^2)/x＋xy-y^2
=x^2-y^3/x＋2xy-y^2
=(x^3-xy^2-y^3+2x^2y)/x
=0/x(根据上式)
=0
=> z2^＋xy=y^2
1年前
4
