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A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16.

The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function.

In the form ax2+bx+c, the Quadratic Formula looks like this:

x=-b±√b2-4ac

_________

2a

The plus-minus means that there can 2 solutions.

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Continue Learning about Algebra

Why does the discriminant determine the number and type of the solutions for a quadratic equation?

A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.


How do you solve Quadratic functions?

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Real life application of a quadratic function?

I think its the dropping of a golf ball off a building! This is because the formula for velocity when something is dropped is a quadratic formula, that is of degree 2.


What is the difference between a quadratic equation and the Quadratic Formula?

A quadratic equation is any type of equation that can be represented as ax2 + bx + c. Example: x2 - 20x + 91 = 0. (a, b, c are known. They are the coefficients.) The coefficient of x2 is always a here. In this case, 1. The coefficient of x = b. In this case -20 (remember it's minus not plus). C is the constant. In this case that is 91. The quadratic formula is a straightforward (though it may seem complicated at first) formula which can solve any quadratic equation. http://bit.ly/1bBARRN There you have an image of the formula.


What formula name that gives the solutions for x in a quadratic equation?

This formula is called the quadratic formula.