解方程组(x+y)/xy=5/6,(y+z)/yz=-2/3,2(x+3)+xz=0

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解方程组(x+y)/xy=5/6,(y+z)/yz=-2/3,2(x+3)+xz=0
解方程组(x+y)/xy=5/6,(y+z)/yz=-2/3,2(x+3)+xz=0

解方程组(x+y)/xy=5/6,(y+z)/yz=-2/3,2(x+3)+xz=0
由(x+y)/xy=5/6 (y+z)/yz=-2/3得1/x+1/y=5/6 ① 1/y+1/z=-2/3② 1/x-1/z=3/2
1/z=1/x-3/2③ z=2x/(2-3x) 代入2(x+3)+xz=0化简得2x2+7x-6=0 x=(-7±√97)/4
1/x=(7±√97)/12 1/z=1/x - 3/2=(-11±√97)/12 z=- (11±√97)/2 1/y=5/6 - 1/x
=-(-3±√97)/12 y=-3(3±√97)/22
X=(-7+√97)/4 y=-3(3+√97)/22 z=- (11+√97)/2
X=(-7-√97)/4 y=-3(3-√97)/22 z=- (11-√97)/2