If a quadratic function is 0 for any value of the variable, then that value is a solution.
If you have a quadratic function with real coefficients then it can have: two distinct real roots, or a real double root (two coincidental roots), or no real roots. In the last case, it has two complex roots which are conjugates of one another.
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
Yes, but in this case, the coefficients of the polynomial can not all be real.
The domain and range can be the whole of the real numbers, or some subsets of these sets.
If a quadratic function is 0 for any value of the variable, then that value is a solution.
Quadratic functions are used to describe free fall.
If you have a quadratic function with real coefficients then it can have: two distinct real roots, or a real double root (two coincidental roots), or no real roots. In the last case, it has two complex roots which are conjugates of one another.
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
There are many ways quadratic equations are used in the real world. These equations are used to calculate area, speed and profit
Quadratic functions will be used in chemistry in real life. Quadratic equations are used to solve equilibrium problems and determine the amount of reactants in a mixture that will react and the concentrations of products that will be form.
If the discriminant of a quadratic equation is less than zero then it will not have any real roots.
Yes, but in this case, the coefficients of the polynomial can not all be real.
They are both polynomial functions. A quadratic is of order 2 while a cubic is of order 3. A cubic MUST have a real root, a quadratic need not.
Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.
Using your ICE table in doing equilibrium calculations of concentrations in chemistry yields a quadratic function. X = Vot +(1/2)at2 is an equation of kinematics in physics.