4x-4y=96,x^2-y^2=960,求x,y的值讲的清楚一点哦!

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4x-4y=96,x^2-y^2=960,求x,y的值讲的清楚一点哦!
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4x-4y=96,x^2-y^2=960,求x,y的值讲的清楚一点哦!
4x-4y=96,x^2-y^2=960,求x,y的值
讲的清楚一点哦!

4x-4y=96,x^2-y^2=960,求x,y的值讲的清楚一点哦!
4x-4y=96
x-y=24
所以x^2-y^2
=(x+y)(x-y)=960
24(x+y)=960
x+y=40
所以方程组化简为
x-y=24
x+y=40
解得
x=32
y=8

x-y=24
x^2-y^2=(x+y)(x-y)=960
带入x-y=24,得x+y=40
解x+y=40
x-y=24
得x=32, y=8

前边一个式子两边同时除以4：x-y=24,x^2-y^2=(x+y)(x-y)=960
即得解。

(x-y) (x-2y)+(x+2y) (x-3y)-2(x-3y) (x-4y)= (x-4y)(2x+y)= x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2 4x方y/(x-2y)(x+2y)怎么算[x方/x-2y]-4x方y/(x-2y)(x+2y)=? (x+y)^2(x-y)^2(x^4+x^2y^2+y^4)=? y'=（y/x）^2+y/x+4微分方程 {3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1 3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 （x+y）/2- x-y/2=6 3(x+y)=4(x-y) x+y/3+x-y/2=6 4(x+y)-2(x-y)=40 x*x+2x+y*y-4y+5=0 x= y= 如果|X|=4 |Y|=2 且|X+Y|=X+Y 求X+Y 4(x-y)-3(x-y)=9 5(x-y)+2(x-y)=11 3(x+y)-4(x-y)=11,2(x-y)+5(x+y)=27 x+y/2+x-y/3=6,4(x+y)-3(x-y)=-20 {(x+y)/2+(x-y)/3=6 4(x+y)-3(x-y)=-20 4(x+y)-3(x-y)=-20,2/x+y+3/x-y=6 3(x+y)-2(x-y)=11 4(x+y)+3(x-y)=9