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.
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
You'll find "real-life applications" of the quadratic equation mainly in engineering applications, not in sustainable development.
How about the path a baseball takes when hit by a bat...
The quadratic has no real solutions.
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
examples of quadratic equation in word problem form with real life situations like sports baseball, hockey
A quadratic equation can have either two real solutions or no real solutions.
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you
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.
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.
It has one real solution.
A quadratic equation could be used to find the optimal ingredients for a mixture. Example: if you are trying to create a super cleanser, you could make a parabola of your ingredients, finding the roots of the equation to find the optimal amount for each ingredient.