二元二次方程组2x^2+4xy-2x-y+2=0 3x^2+6xy-x+4y=0

2个回答

  • 2x^2+4xy-2x-y+2=0 6x^2+12xy-6x-3y+6=0

    3x^2+6xy-x+4y=0 6x^2+12xy-2x-8y=0

    -4x+5y+6=0 5y=4x-6 y=(4x-6)/5

    3x^2+6x(4x-6)/5-x+4(4x-6)/5=0

    15x^2+6x(4x-6)-5x+4(4x-6)=0

    15x^2+24x^2-36x-5x+16x-24=0

    39x^2-25x-24=0

    x^2-25x/39=24/39

    x^2-25x/39+(25/78)^2=24/39+625/6084

    (x-25/78)^2=3744/6084+625/6084

    x-25/78=±√(4369/6084)

    x=25/78±√4369/78

    x=(25±√4369)/78

    y=[4(25±√4369)/78-6]/5

    =[2(25±√4369)/39-6]/5

    =[(50±2√4369)/78-6]/5

    =[(50±2√4369-468)/78]/5

    =[(±2√4369-418)/78]/5

    =(±2√4369-418)/390