One example... X = 1/2 A t2 + V0 t + X0 Where X is distance, A is acceleration, t is time, V0 is initial velocity, and X0 is initial distance. This allows you to calculate where you would be given a starting position, velocity, and acceleration, after a specified time, such as in an automobile.
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If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
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.
If the discriminant of a quadratic equation is less than zero then it will not have any real roots.
That depends on the equation.
You know an equation is quadratic by looking at the degree of the highest power in the equation. If it is 2, then it is quadratic. so any equation or polynomial of the form: ax2 +bx+c=0 where a is NOT 0 and a, b and c are known as the quadratic coefficients is a quadratic equation.