NCERT · Class 10 · Mathematics · Quadratic EquationsWhat is the standard form of a quadratic equation?

The standard form of a quadratic equation in the variable x is represented mathematically as ax² + bx + c = 0, where a, b, and c are real numbers, and the coefficient of x squared, denoted by 'a', must not be equal to zero. If 'a' becomes zero, the equation reduces to a linear equation and is no longer a quadratic equation. This form is extremely important for applying various methods of solving quadratic equations such as factorization, completing the square, and using the quadratic formula.