fuck the system <| sep |> Do you have a picture of the end grain ? <| sep |> Many BBC programs do this unfortunately because the US versions cut content out to make room for adverts <| sep |> Got dat Moana Dorbz Ride and some other stuff from GS <| sep |> It ' s the I can ' t wear a uniform anymore but I really want everyone to know I wore a uniform uniform . <| sep |> I ' m disgusted and interested more than ever on this sub . <| sep |> I think this stems from a misconception of what an exact solution is in this context . Does the equation x 2 20 have an exact solution , in your opinion ? You will probably answer Well of course it does ! It ' s the square root of 2 ! But think about it , the square root of 2 is defined as the solution of this equation , isn ' t it ? So it seems that we are going in circles here . We say that there is an exact solution to this equation , simply because we gave a name to that solution . But actually , the square root of 2 is a irrational number . So one could argue that this is not an exact solution . For example , we cannot give its decimal expansion , or write it as a ratio of two integers . But the square root is a relatively simple function , so it ' s in our arsenal of elementary function because it is used everywhere . In a way , we consider that sqrt 2 is exact because we are used to it . Now , let ' s talk about the interesting part . We define square roots as solutions to equations of the form x 2 a 0 . Simply using square roots and , , , we can also express the solutions of all quadratic equations , with the good old quadratic formula . We can also define cubic roots as solutions of equations x 3 a 0 . And again , simply using square roots and cubic roots , we can express the solutions of any cubic equation , using the more complicated cubic formulaSame thing with quartic root , and quartic equations . But when you arrive at degree 5 , something strange happens . You can of course define fifth roots as solutions of the equations of the form x 5 a 0 . But now , this becomes insufficient to express the solutions for all quintic equations . This is exactly what the AbelRuffini theorem is saying . It ' s basically saying that if you want to express the solutions to all quintic equations , you need more than just square , cubic , quartic and quintic roots . Some equations have solutions that cannot be written only with these things like the one you gave in the title . You actually need to use a Bring radical , which is a function defined almost exactly as the fifth root except that it ' s the solution to the equation x 5 x a 0 . And so you can get the exact solution to any quintic equation , by using usual roots and Bring radicals . Going in degree 6 and higher , you will need even more additional building blocks to express solutions .