Quadratic equation

• Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
• The quadratic formula is used to find the roots or solutions of any quadratic equation.
• The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.
• To solve a quadratic equation using the quadratic formula, we need to identify the values of a, b, and c from the given quadratic equation.
• The discriminant is represented by D and is calculated by subtracting the square of the coefficient of the linear term from four times the product of the constant term and the coefficient of the quadratic term.
• If the value of the discriminant is positive, then there will be two real roots; if the value of the discriminant is zero, then there will be only one root; and if the value of the discriminant is negative, then there will be no real roots.
• If the value of "b" is zero then the quadratic equation becomes linear equation
• A quadratic function has two real roots if its discriminant is positive; otherwise, it has complex conjugate roots.
• The vertex of a parabola is always located at the lowest point on the curve when the graph opens downward, and at the highest point on the curve when the graph opens upward.
• "a" is called leading coefficient because it has highest power of X