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Because the square root of the discriminant is a component of the roots of the equation.

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Q: Why the discriminant of a quadratic is useful in algebra?
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What is the discriminant of an algebra equation?

I am assuming that "an algebra equation" refers to a quadratic equation and not a higher polynomial.For a quadratic equation of the form y = ax^2 + bx + c, where a, b and c are real numbers and a is non-zero, the discriminant is b^2 – 4ac.


How many discriminant did this quadratic equation have -4j2 3j-280?

A quadratic equation has one discriminant.


What is the discriminant of a quadratic function?

The form of the quadratic is ax2+bx+c, so the discriminant is b2-4ac.


What are quadratic equations with real roots?

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.


If the discriminant of a quadratic equation is -4 how many solutions does the equation have?

If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.


What is the definition of quadratic discriminant?

The discriminant of the quadratic equation: y = ax^2 + bx + c is b^2 - 4ac


How can you have one solution in something that is quadratic?

b^2 - 4ac, the discriminant will tell you that a quadratic equation may have one real solution( discriminant = 0 ) , two real solutions( discriminant > 0 ), or no real solutions( discriminant < 0 ).


If the discriminant of an equation is 0?

If the discriminant of a quadratic equation is zero then it has two identical roots.


What part of the a quadratic formula tells you when the quadratic equation can be solved by factoring?

The discriminant


What is a discriminant in a quadratic equation?

General form of a quadratic equation is: ax2+b+c = 0 The discriminant is: b2-4ac If the discriminant equals zero then there are two equal roots If the discriminant is greater than zero then there are two different roots If the discriminant is less than zero then there are no real roots


What is the equation for finding the discriminant?

The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.


What does the discriminant have to be in order for the roots of a quadratic to be irrational?

The discriminant must be a positive number which is not a perfect square.