已知x方 4y方=4XY
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/01 10:42:42
1.已知A=5x的二次方y-3xy的二次方+4xy,B=7xy的二次方-2xy+x的二次方y,求:(1)A-2B;A-2B=5x的二次方y-3xy的二次方+4xy-2*(7xy的二次方-2xy+x的二
5X方—3XY—4Y方—11XY—7X方+2Y方=-2x²-2y²-14xy=-2×7-14×(-2)=-14+28=14
A-B=4x^2-4xy+y^2-x^2-xy+5y^2=3x^2-5xy+6y^2
因为3x方+xy-2y方=0,即(x+y)(3x-2y)=0,而x+y≠0,所以3x-2y=0原式=[(x+y)^2-4xy]/[(x+3y)(x-y)/(x+3y)(x-3y)=(x-3y)/(x+
x方+4y方=4xyx²-4xy+4y²=0(x-2y)²=0x=2yx+2y/x=(2y+2y)/(2y)=2
即(3x-4y)(x+y)=03x=4y或x=-y若3x=4yy=3x/4则y²=9x²/16,xy=3x²/4原式=(3x²/4-3x²)/(9x&
∵y/x=3∴y=3x∴原式=(3x²-12x²+18x²)/(6x²-3x*3x+7*9x²)=9x²/(60x²)=3/20
∵x^2+y^2-2x+4y+5=0配方:∴(x-1)^2+(y+2)^2=0那么x-1=0且y+2=0所以x=1,y=-2∴(x^4-y^4)/(2x^2+xy-y^2)*(2x-y)/(xy-y^
1、2x^4y^3-x^2y=2x(xy)^3-(xy)x=54x-3x=51x已知2x-y=4,xy=3,可求得x值代入即可.
x²+2xy+4y²+x²y²+1=8xy(x²-4xy+4y²)+(x²y²-2xy+1)=0(x-2y)²
2(x+y)方-2=50-2=48
(2x^4)y³-x³y^4=(x³y³)(2x-y)=(xy)³(2x-y)=4³×(1/16)=4
∵y分之x=5∴x=5y(4x²-5xy-6y²)分之(x²-2xy+3y²)=(100y²-25y²-6y²)分之(25y
像这种题目也可以用特殊值去做,比如令x=1,代入方程求出y,再代入所求的式子就可以得出答案.
等于-1或5解那式子可得(x-5y)(y+x)=0得x=5y或x=-y
(X-1/2Y)方
(x^2+xy+y^2)^2-4xy(x^2+y^2)=(x^2+y^2)^2+2xy(x^2+y^2)+x^2y^2-4xy(x^2+y^2)=(x^2+y^2)^2-2xy(x^2+y^2)+x^
这个不是直接算x、y而是对多项式进行变形;5x方-3xy-4y方-11xy-7x方+2y方=(5-7)x²+(-3-11)xy+(-4+2)y²=-2x²-14xy-2y
=x^2+4xy+4y^2+y^2+6y+9=0(x+2y)^2+(y+3)^2=0x+2y=0,y+3=0x=6,y=-3x^2-y^2=6^2-(-3)^2=27