2
Why are Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0,
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 then 0 then it will have no real solutions.
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
It has more than one solutions.
Why are Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0,
A system of equations containing exactly one linear equation and one quadratic equation can have up to two solutions, depending on their intersection. If the linear equation intersects the quadratic curve at two points, there will be two solutions. If they intersect at one point (tangent) or not at all, there will be one or zero solutions, respectively. Thus, the possible number of solutions is 0, 1, or 2.
There are several methods for solving quadratic equations, although some apply only to specific quadratic equations of specific forms. The methods include:Use of the quadratic formulaCompleting the SquareFactoringIterative methodsguessing
The quadratic has no real solutions.
There are many ways quadratic equations are used in the real world. These equations are used to calculate area, speed and profit
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.
Many situation can be described by quadratic equations. For example, the height of an object when dropped or shot up in the air.
A quadratic equation can have either two real solutions or no real solutions.
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
If a system of equations is inconsistent, there are no solutions.
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
2