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It is the equation inside the square root of the Quadratic Formula

If > 0 there is a solution
If < 0 there is no solution

Because you can not calculate the Square Root of a Negative Number

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Q: What is the determinant of a quadratic function?
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What indicates if the roots of a quadratic square are irrational?

If the determinant of the quadratic (ax&sup2; + bc + c) as worked out by b&sup2; - 4ac is a perfect square or not. If the determinant is not a perfect square then the roots are irrational.


What determines the nature of the roots of a quadratic equation?

The determinant.The determinant is the part under the square root of the quadratic equation and is:b2-4ac where your quadratic is of the form: ax2+bx+cIf the determinant is less than zero then you have 'no real solutions' (as the square root of a negative number is imaginary.)If the determinant is = 0, then you have one real solution (because you can discount the square root of the quadratic equation)If the determinant is greater than zero you have two real solutions as you have (-b PLUS OR MINUS the square root of the determinant) all over 2aTo find the solutions where they exist you'll need to solve the quadratic formula or use another method.


What part of speech is quadratic function?

A quadratic function is a noun. The plural form would be quadratic functions.


What is the degree of a quadratic function?

A quadratic function will have a degree of two.


Why is a quadratic function called a quadratic function?

A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.


What is the definition of a Vertex form of a quadratic function?

it is a vertices's form of a function known as Quadratic


What is the determinant of a 2x3 matrix?

The determinant function is only defined for an nxn (i.e. square) matrix. So by definition of the determinant it would not exist for a 2x3 matrix.


What do you call the graph of a quadratic function?

the graph of a quadratic function is a parabola. hope this helps xP


What part of speech is function?

A quadratic function is a noun. The plural form would be quadratic functions.


What makes a function have a graph that is quadratic?

That the function is a quadratic expression.


Why is a quadratic function a function of x having the highest degree 2?

It follows from the definition of a quadratic funtcion.


What is the difference between a linear and quadratic function?

A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.