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f(x)+g(x)=0
a, (x²+ax+2)+(x²+2x+a)=0
a, x²+ax+2+x²+2x+a=0
a, 2x²+2x+ax+a=0
a, 2x(x+1)+a(x+1)=0
a, (2x+a)(x+1)=0
so, 2x+a=0
a, 2x=-a
a, x=-a/2
or, x+1=0
a, x=-1
therefore,f(x)+g(x)=(-1)+(-1)
=-1-1=-2
or, f(x)+g(x)=(-a/2)+(-a/2)
=-2a/2=-a
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