In this article, I demonstrate the resolution of the 5th degree equation, with algebraic radicals. I contradict Galois theory. In my demonstration, I use two invariant polynomials of degrees 8 and 6, wich I discovered*. After identification, I cancel the coefficients 7, 5 and 3 in the polynomial of degree 8 and the coefficient of degree 5 and 3, in the polynomial of degree 6. For the coefficient of degree 1, I make a combination between the polynomials of degree 8 and 6 to eliminate it. Finally I find an equation of degree 8 bisquare that I can solve. By solving the system of equations, of variables m and p, which are the coefficients of the powers 5 and 3, I’m forced to involve the equation of degree 5. That allows me to eliminate the coefficient of degree 3 from the equation of degree 8, I realise that I can find the solutions of the equation of degree 5 with a free variable. The solutions of an equation with a free variable, I have already done this with the equation of degree 2, that I discovered.