x^2+xy+y^2=91 6x^2-5xy+y^2=0 这个方程组要怎么解
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x^2+xy+y^2=91 6x^2-5xy+y^2=0 这个方程组要怎么解
x^2+xy+y^2=91 6x^2-5xy+y^2=0 这个方程组要怎么解
x^2+xy+y^2=91 6x^2-5xy+y^2=0 这个方程组要怎么解
x+xy+y=91,6x-5xy+y=(2x-y)(3x-y)=0,得y=2x或y=3x,代入上式 y=2x时,x+xy+y=7x=91,x=13,x=±√13,x=√13,y=2√13 ; x=-√13,y=-2√13 y=3x时,x+xy+y=13x=91,x=7,x=±√7,x=√7,y=3√7 ; x=-√7,y=-3√7
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