作业帮己知x y=4,xy=5那么x的平方加y的平方等于多少?
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/26 06:22:23
己知x,y为正实数,且xy=4x+y+12,有xy=4x+y+12>=2√(4xy)+12=4√(xy)+12,令t=√(xy)>0,有t^2-4t-12>=0,得t=6,所以xy的最小值为36
5x²-3xy-4y²-11xy-7x²＋2y²=5x²-7x²＋2y²-4y²-3xy-11xy=-2x²-
5xy+4x+7y+6x-3xy-4xy+3y=5xy-3xy-4xy+4x+6x+7y+3y=（5-3-4）xy+（4+6）x+（7+3）y=-2xy+10x+10y=-2xy+10（x+y）因为x
原式=[4(x+y)-2xy]分之[(x+y)+xy]=[4(3xy)-2xy]分之[(3xy)+xy]=10xy分之2xy=5分之1
xy/(x+y)=2∴xy=2(x+y)(3xy-x-y)/(3x-5xy+3y)=[6(x+y)-x-y]/[3x+3y-10(x+y)]=5(x+y)/[-7(x+y)]=-5/7
3xy+4x+2y=3xy+2(2x+y)=3*7+2*8=21+16=37
解答解法一∵logax=4,logay=5,∴x=a4,y=a5,∴A=x512y-13=(a4)512(a5)-13=a53·a-53=a0=1.解法二对所求指数式两边取以a为底的对数得logaA=
先把代数式（5XY+4X+7Y)+(6X-3XY)-(4XY-3Y)化简（5XY+4X+7Y)+(6X-3XY)-(4XY-3Y)=5XY+4X+7Y+6X-3XY-4XY+3Y=-2XY+10X+1
（7xy+4x-7y）+(6x-3xy)-(3y+4xy)=7xy+4x-7y+6x-3xy-3y-4xy=10x-10y=10（x-y）=10*3=30
(3x-2y+3xy)-(x-4y-2xy)=3x-2y+3xy-x+4y+2xy=2x+2y+7xy=2(x+y)+5xy=2×3-5×2=-4
2(x+xy)-[(xy-3y)-x]-(-xy)=2x+2xy-xy+3y+x+xy=3x+3y+2xy=3（x+y）+2xy=3*（-2）+2*3=0
a-2b=(5x²y-3xy²+4xy)-2(7xy²-2xy+x²y)=5x²y-3xy²+4xy-14xy²+4xy-2x&#
(5xy+4x+7y)+(6x-3xy)-(4xy-3y)=5xy+4x+7y+6x-3xy-4xy+3y=(5xy-3xy-4xy)+(4x+6x)+(7y+3y)=-2xy+10x+10y=-2x
2x+3y-3xy+4xy-3x-4y+7=(2x-3x+3y-4y)+4xy-3xy+7=(-x-y)+xy+7=-(x+y)+xy+7=-4-1+7=2
3(x^2-xy)-xy+y^2=3(x^2-xy)-(xy-y^2)=3*5-(-3)=15+3=18
5x²+5xy+y²+2x+1=04x²+y²+4xy+2x+x²+1=0（2x+y）²+（x+1）²=0得{2x+y=0---①
x(x十y)(x一y)一x(x十y)²=x(x十y)[(x一y)一(x十y)]=x(x十y)*（-2y）=-2xy（x+y）=-2*6*5=-60
原式=4xy+8y+6x+2xy-5y-3x=6xy+3x+3y=6*3+3(x+y)=18-12=6