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We have that
<span>f(x)=-x+0.5
g(x)=x</span>²+3x-4
f(x)=g(x)------------> -x+0.5=x²+3x-4-------------> x²+3x-4+x-0.5=0
x²+3x-4+x-0.5=0---------------> x²+4x-4.5=0
using a graph tool
see the attached figure
the solution are the points (-4.915,0) and (0.915,0)
<span>f(x)=-x+0.5
g(x)=x</span>²+3x-4
f(x)=g(x)------------> -x+0.5=x²+3x-4-------------> x²+3x-4+x-0.5=0
x²+3x-4+x-0.5=0---------------> x²+4x-4.5=0
using a graph tool
see the attached figure
the solution are the points (-4.915,0) and (0.915,0)