Any quadratic function can be written in the standard form f x a x - h 2 k where h and k are given in terms of coefficients a b and c. It stems from the fact that any quadratic function or equation of the form y a x2 bx c y ax2 bx c can be solved for its roots. For ax 2 bx c 0 the values of x which are the solutions of the equation are given by.
A x 2 b x c.
The Quadratic Formula is derived from the process of completing the square and is formally stated as. In elementary algebra the quadratic formula is a formula that provides the solution s to a quadratic equation. The Quadratic Formula is derived from the process of completing the square and is formally stated as. If a 0 then the equation is linear not quadratic as there is no a x 2 displaystyle ax2 term.