已知√X(√X+2√Y)=√Y(6√X+5√Y),求(X+√(XY)-Y)/(2X+√(xy)+3Y)的值思路也可以,总之要让人明白,
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![已知√X(√X+2√Y)=√Y(6√X+5√Y),求(X+√(XY)-Y)/(2X+√(xy)+3Y)的值思路也可以,总之要让人明白,](/uploads/image/z/5404086-54-6.jpg?t=%E5%B7%B2%E7%9F%A5%E2%88%9AX%28%E2%88%9AX%2B2%E2%88%9AY%29%3D%E2%88%9AY%EF%BC%886%E2%88%9AX%2B5%E2%88%9AY%EF%BC%89%2C%E6%B1%82%28X%2B%E2%88%9A%EF%BC%88XY%EF%BC%89-Y%29%2F%282X%2B%E2%88%9A%28xy%29%2B3Y%29%E7%9A%84%E5%80%BC%E6%80%9D%E8%B7%AF%E4%B9%9F%E5%8F%AF%E4%BB%A5%2C%E6%80%BB%E4%B9%8B%E8%A6%81%E8%AE%A9%E4%BA%BA%E6%98%8E%E7%99%BD%2C)
已知√X(√X+2√Y)=√Y(6√X+5√Y),求(X+√(XY)-Y)/(2X+√(xy)+3Y)的值思路也可以,总之要让人明白,
已知√X(√X+2√Y)=√Y(6√X+5√Y),
求(X+√(XY)-Y)/(2X+√(xy)+3Y)的值
思路也可以,总之要让人明白,
已知√X(√X+2√Y)=√Y(6√X+5√Y),求(X+√(XY)-Y)/(2X+√(xy)+3Y)的值思路也可以,总之要让人明白,
√x(√x+2√y)=√y(6√x+5√y),
x+2√xy)=6√xy+5y,
x-4√xy-5y=0,
(√x-5√y)(√x+√y)=0
√x=5√y,(√x=-√y舍去)
(x+√xy-y)/(2x+√xy+3y)
=(25Y+5Y-Y)/(50Y+5Y+3Y)
=1/2
祝你学习天天向上,加油!1
√X(√X+2√Y)=√Y(6√X+5√Y),
x+2√xy=6√xy+5y
x-4√xy-5y=0
(√x-5√y)(√x+√y)=0
√x=5√y
x=25y
(X+√(XY)-Y)/(2X+√(xy)+3Y)
=(25y+5y-y)/(50y+5y+3y)
=29y/58y
=1/2
x+2根号xy=6根号xy+5y
x-4根号xy-5y=0
(根号x+根号y)(根号x-5根号y)=0
根号x+根号y不等于0
根号x=5根号y
(x+√xy-y)/(2x+√xy+3y)
=(25Y+5Y-Y)/(50Y+5Y+3Y)
=1/2
√X(√X+2√Y)=√Y(6√X+5√Y),
化为 x-5y=4√xy
∴(x-5y)²=16xy
∴x²-26xy+25y²=0
∴(x-y)(x-25y)=0
∴x=y 或x=25y
当x=y时
(X+√(XY)-Y)/(2X+√(xy)+3Y)
=(y+5y-y)/(2y+y+3y)
=5...
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√X(√X+2√Y)=√Y(6√X+5√Y),
化为 x-5y=4√xy
∴(x-5y)²=16xy
∴x²-26xy+25y²=0
∴(x-y)(x-25y)=0
∴x=y 或x=25y
当x=y时
(X+√(XY)-Y)/(2X+√(xy)+3Y)
=(y+5y-y)/(2y+y+3y)
=5y/6y
=5/6
当x=25y时
(X+√(XY)-Y)/(2X+√(xy)+3Y)
=(25y+5y-y)/(50y+5y+3y)
=29y/58y
=1/2
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