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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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Related questions

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


State the discriminant of the quadratic 3x2-4x plus 4 equals 0?

The discriminant is -32.


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.