An alternative way of deriving the quadratic formula is via the method of Lagrange resolvents which is an early part of Galois theory. Take the negative of this to get the reverse of the subtraction. Transpose the quantity c a to the right side of the equation.
Derive the Quadratic Formula by solving ax2 bx c 0.
Simplify the right side of the equation. We know that the solutions of quadratic equation of the form a x 2 b x c 0 is given by the quadratic equation. An alternative way of deriving the quadratic formula is via the method of Lagrange resolvents which is an early part of Galois theory. Divide the general form of a quadratic equation by a.