Today, while attempting to find the area enclosed by these three functions

I came across this equation:

x³-x-3=0

Generally, I would try to factorize this, but I can't seem to do it. I asked in sax and someone came up with x(x+1)(x-1)=3, but after that, nothing. Through the use of my calculator, then wolfram alpha, I was able to get that the answer is

which is about 1.6716998816571609697481497812195572287282648272045816921369024386475251300218[...]

and that there are two imaginary roots, which I am not interested in for this particular application, but still no idea how to actually solve it so if anybody knows, please explain how to do it, it would be greatly appreciated

EDIT: Oh by the way, the area is about 7.3u², in case you were wondering.

- f(x)=x³

g(x)=x+3

h(x)=0.5x²

I came across this equation:

x³-x-3=0

Generally, I would try to factorize this, but I can't seem to do it. I asked in sax and someone came up with x(x+1)(x-1)=3, but after that, nothing. Through the use of my calculator, then wolfram alpha, I was able to get that the answer is

which is about 1.6716998816571609697481497812195572287282648272045816921369024386475251300218[...]

and that there are two imaginary roots, which I am not interested in for this particular application, but still no idea how to actually solve it so if anybody knows, please explain how to do it, it would be greatly appreciated

EDIT: Oh by the way, the area is about 7.3u², in case you were wondering.