已知x加5y等于6
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X+Y=5,XY=2,5X+4Y-3X-2Y+XY=2X+2Y+XY=2(X+Y)+XY=2×5+2=12.
已知x方加y方减2x加4y等于-5x方+y方-2x+4y+5=0x方-2x+1+y方+4y+4=0(x-1)方+(y+2)方=0所以x-1=0,y+2=0所以x=1,y=-2如果不懂,请追问,祝学习愉
X²+Y²=10..(1)X+Y=6..(2)(2)²-(1)得2XY=26XY=13如果认为讲解不够清楚,
x^2+2x+y^2-6y+10=0=(x^2+2x+1)+(y^2-6y+9)=0=(x+1)^2+(y^2-6y+3^2)=0=(x+1)^2+(y-3)^2=0x=-1y=3xy=-3
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x^2-2x+y^2+6y+10=0x^2-2x+1+y^2+6y+9=0(x-1)^2+(y+3)^2=0x-1=0,y+3=0x=1,y=-3(x-y)/(x+y)=4/(-2)=-2
x+y-2=0x+y=2x²-y²=(x+y)(x-y)=6x-y=6/(x+y)=6/2=3x-y-5=3-5=-2
X=5-YY=5-X再问:请问这叫什么公式呀?
求X2+5XY+30Y(X+5Y)2=62X2+25Y2+10XY=36(X2+5XY+30Y)+5XY+25Y2-30Y=36(X2+5XY+30Y)+5Y(X+5Y)-30Y=36(X2+5XY+
x方+y方+5/4=2x+y(x方-2x+1)+(y方-y+1/4)=0(x-1)方+(y-1/2)方=0x=1,y=1/2xy/(x+y)=1/3
3x-6y-5=03(x-2y)=5x-2y=5/32x-4y+6=2(x-2y)+6=2×5/3+6=28/3或9又1/3
x^2-y^2=x^2+2xy+y^2-4xy=(x+y)^2-4xy=5^2-4×3=25-12=13
25的x加y次方=25的x次方×25的y次方=(5的x次方)²×(5的y次方)²=15²×6²=8100
x^2减6xy加9y等于0.则x:y等于_3:1___.
首先分母有理化,上下同乘以根号x加根号y,然后变成了(x+2乘以根号下xy+y)/(x-y)对xy=4开平方,得到根号下xy=2,(x-y)^2=(x+y)^2-4xy=9,你再开一下方就可以了得到(
x/y+y/x=(x²+y²)/xyx²+y²=(x+y)²-2xy=36-16=20原式=20/8=2.5
由已知得(X-2)^2+(2Y+1)^2=0则X=2,Y=-1/2代入计算即可(后面的表达式看不大清楚)
根据(x+y)2=x2+y2+2xy,可得x2+y2=13