解方程组x^4-y^4=15 x^3y-xy^3=6
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解方程组x^4-y^4=15 x^3y-xy^3=6
解方程组x^4-y^4=15 x^3y-xy^3=6
解方程组x^4-y^4=15 x^3y-xy^3=6
(x²+y²)(x²-y²)=15
xy(x²-y²()-=6
相除
2x²+2y²=5xy
(x-2y)(2x-y)=0
x=2y,y=2x
分别代入x^4-y^4=15
x=2y
y^4=1
而y=2x则x^4=-1,无解
所以
x=2,y=1
x=-2,y=-1
题目错了吧?右边肯定错了,Y怎么在幂处?
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