[(900/(X+Y)+4]X=900;[900/(X+Y)+16]Y=900.解方程组Hurry up!

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[(900/(X+Y)+4]X=900;[900/(X+Y)+16]Y=900.解方程组Hurry up!

[(900/(X+Y)+4]X=900;[900/(X+Y)+16]Y=900.解方程组Hurry up!
[(900/(X+Y)+4]X=900;[900/(X+Y)+16]Y=900.解方程组
Hurry up!

[(900/(X+Y)+4]X=900;[900/(X+Y)+16]Y=900.解方程组Hurry up!
x=-255,y=225/2
or
x=75,y=75/2

化简得:
900/(x+y)+4=900/x
900/(x+y)+16=900/y
左右去分母:
900x+4x^2+4xy=900x+900y
900y+16x^2+16xy=900x+900y
化简:
x^2+xy-225y=0 3
4x^2+4xy-225x=0 4
三式乘四减四式,得:
22...

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化简得:
900/(x+y)+4=900/x
900/(x+y)+16=900/y
左右去分母:
900x+4x^2+4xy=900x+900y
900y+16x^2+16xy=900x+900y
化简:
x^2+xy-225y=0 3
4x^2+4xy-225x=0 4
三式乘四减四式,得:
225x-900y=0
x-4y=0
x=4y
把x=4y代入一式,得:
180/y+4=225/y
解得:y=45/4
x=45

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