已知x>0,y>0,且根号X(根号X+根号Y)=3根号Y(根号X+5根号Y)求:(1)根号X/根号Y (2)(2x+根号xy+3y)/(x+根号xy-y)
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 18:36:04
x͒N0_SXN\Y5s01S* !
R6ޤ"-|qA];0w;+i5˗'{Ϸ~qjGfyQd>
NZ?_ueSR=̌eCL 0Pzr.v;g?~(#DnaXB52%zKB; sH^x< m+"\epFeݴʹђfsF4$E.G(2e1g/g(zAe]rnq"ƿ\&]@(V?.
已知x>0,y>0,且根号X(根号X+根号Y)=3根号Y(根号X+5根号Y)求:(1)根号X/根号Y (2)(2x+根号xy+3y)/(x+根号xy-y)
已知x>0,y>0,且根号X(根号X+根号Y)=3根号Y(根号X+5根号Y)
求:(1)根号X/根号Y (2)(2x+根号xy+3y)/(x+根号xy-y)
已知x>0,y>0,且根号X(根号X+根号Y)=3根号Y(根号X+5根号Y)求:(1)根号X/根号Y (2)(2x+根号xy+3y)/(x+根号xy-y)
(1)
√x(√x+√y)=3√y(√x+5√y)
x+√(xy)=3√(xy)+15y
x-2√(xy)-15y=0
(√x+3√y)(√x-5√y)=0
∵x>0 y>0
∴√x>0 √y>0
即:√x+3√y>0
则:√x-5√y=0
√x=5√y
√x/√y=5
(2)
∵√x=5√y
∴x=25y
则2x+√(xy)+3y=2×25y+√(25y²)+3y=50y+5y+3y=58y
而x+√(xy)-y=25y+√(25y²)-y=25y+5y-y=29y
∴[2x+√(xy)+3y]/[x+√(xy)-y]=58y/29y=2
已知x>0,y>0,且根号X(根号X+根号Y)=3根号Y(根号X+5根号Y)求:(1)根号X/根号Y (2)(2x+根号xy+3y)/(x+根号xy-y)
已知根号2009=根号x+根号y,且0
已知根号x+根号y=根2107,且0
已知x,y为实数,且根号x+x+根号y+y=0,则代数式根号x^5y
已知X>0,Y>0,且X+根号XY_
已知x>根号x-5+根号5-x+x且|y²-36|+根号2x-y-z=0,求根号y-x+根号z的值
已知x>0,y>0,且x+y=1 求:{根号(x+1) + 根号(y+1) }的最小值
已知x>0,y>0且x+y=1,求证根号(x+1/2)+根号(y+1/2)
已知定义域为R的函数f(x)对任意实数x,y满足f(x+y)+f(x-y)=2f(x)cosy,且f(0)=0,f(π/2)=1,则f(x+2π)+f(-x)+f(π/4)=_______.
已知x>0,y>0,且x+6y=5根号xy,求(2x+根号xy-y)分之(x+根号xy+2y)的值
已知三次根号x和三次根号y互为相反数,且y≠0,求x/y的值
已知根号-(1-2X)^2是有理数,且根号Y-2X+根号2X-Y=0,则X+Y的值是多少
已知x>0,y>0,且xy-(x+y)=1,求证x+y>=2(根号2+1)
已知x>0,y>0,且x+y=1,则根号下2/x+3/y的最小值是
已知根号2-绝对值x+根号1-绝对值y=0,且绝对值x-y=y-x,求x+y
已知根号下2-(x的绝对值)+根号下1-(y的绝对值)=0,且(x-y的绝对值)=y-x,求x+y值
已知x大于0 y大于0 且x+6y=5根号xy 求x+根号xy+2y分之2x+根号xy-y的值已知x大于0 y大于0 且x+6y=5根号xy求x+根号xy+2y分之2x+根号xy-y的值
已知 X大于0,Y大于0,且X-根号XY-2Y=0,求2X-根号XY除以Y+2根号XY的值