x^2+xy+x=36,y^2+xy+y=20,求x+y.

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x^2+xy+x=36,y^2+xy+y=20,求x+y.x^2+xy+x=36,y^2+xy+y=20,求x+y.x^2+xy+x=36,y^2+xy+y=20,求x+y.7或者-8∵x²

x^2+xy+x=36,y^2+xy+y=20,求x+y.
x^2+xy+x=36,y^2+xy+y=20,求x+y.

x^2+xy+x=36,y^2+xy+y=20,求x+y.
7或者-8

∵x²+xy+x=36①
  y²+xy+y=20②
 ∴①+②得:
  x²+xy+x+y²+xy+y
  =(x+y)²+(x+y)
  =56
 ∴(x+y)²+(x+y)-56=0
  [(x+y)+8][(x+y)-7]=0
 ∴x+y=-8或x+y=7

  x^2+xy+x=36 ①
  y^2+xy+y=20 ②
  用①+②,得:
  x^2+xy+x+y^2+xy+y=36+20
  整理,得:
  x^2+2xy+y^2+x+y=56
  (x+y)^2+(x+y)=56
  把(x+y)用 z 替换:
  z^2+z-56=0
  z1= -8 z2=7
  x+y=-8, x+y=7

  求采纳啊

(x+y)^2+x+y-56=0
(x+y+8)*(x+y-7)=0
x+y=-8
x+y=7