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how to derive a quadratic formula. Divide the general form of a quadratic equation by a. This method can be generalized to give the roots of cubic polynomials and quartic polynomials and leads to Galois theory which allows one to understand the solution of algebraic equations of any degree in terms of the symmetry group of their roots the.
X b b 2 4 a c 2 a. Divide both sides by a displaystyle a. Note that we couldve switched this and the previous step and still.
Ax 2 bx c 0 Divide both sides of the equation by a so that you can complete the square.
Ax 2 bx c 0 Divide both sides of the equation by a so that you can complete the square. Derivation of Quadratic Formula 1. Subtract c displaystyle c from both sides. This video shows you how to get the quadratic equation for the quadratic function with roots.