The general form of a quadratic equation is y = ax2 + bx + c, where a, b and c are real constants and a ≠0. If a = 0 then it is not a quadratic!
There are two ways of classifying the forms.
"CUP OR CAP"
If a > 0 then the graph of the quadratic is cup shaped - like a U.
If a < 0 then the graph is cap shaped - like an inverted U.
"NUMBER OF ROOTS"
Using the above form, calculate the discriminant, d = b2 - 4ac
If d > 0 the quadratic has two real roots. That is, two distinct real values of x for which y = 0.
If d = 0 the quadratic has two coincident real roots. (Some consider this as one root but it is useful to consider the situation as two roots that coincide since that approach maintains parity between the number of roots and the order of the polynomial.)
If d < 0 there are no real roots. Instead, it has two complex roots which will be conjugates of one another.
Chat with our AI personalities
THERE ARE TWO TYPES OF QUADRATIC EQUATION1) complete quadratic equation2) incomplete quadratic equation
There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.
dun know :D
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .