Adding And Subtracting Fractions A Math Drills Com latest 2023

You are searching about Adding And Subtracting Fractions A Math Drills Com, today we will share with you article about Adding And Subtracting Fractions A Math Drills Com was compiled and edited by our team from many sources on the internet. Hope this article on the topic Adding And Subtracting Fractions A Math Drills Com is useful to you.

How To Tell The Nature Of Roots Of Quadratic Equations!

Nature of roots of quadratic equations

Quadratic equations are equations of degree two. When these are solved, we get the solution as two values ​​of the variable they contain. Solutions have many names, such as roots, zeros, and variable value. The key is that there are two values ​​of the variable and they can be real and imaginary. In grades 10 to 12, math students need to know both types of solutions (roots). In this presentation, I focus only on true roots.

There are three possibilities regarding the roots of second degree equations. Since the degree of these equations is two, they have two values ​​of the variable they contain, but this is not always the case.

Sometimes there are two distinct and unique roots, sometimes an equation has the same roots, and other times there is no solution to the equation. No solution to the equation means that there is no way to solve the equation to get the real value (real roots) of the equation and there could be imaginary roots to these types of equations.

There is a method to tell the nature of the roots of quadratic equations without solving the equation. This method consists in finding the value of the discriminant (D as symbol) for the quadratic equation.

The formula to find the discriminant (D) is given below:

D = b² – 4ac

Where “D” means discriminant, “b” is the coefficient of the linear term, “a” is the coefficient of the quadratic term (term with the square of the variable) and “c” is the constant term.

The discriminant is calculated using the above formula and the result is analyzed as shown below:

1. When D > 0

In this case, there are two distinct real roots of the equation.

2. When D = 0

In this case, there are two equal roots for the equation.

3. When D < 0

In this case, there are no real roots for the equation.

For example; consider that we want to know the nature of the roots of the quadratic equation, “3x² – 5x + 3 = 0”

In this quadratic equation; a = 3, b = – 5 and c = 3. Use these values ​​in the formula to find the discriminant for the given equation as shown below:

D = b² – 4ac

= (- 5)² – 4 (3) (3)

= 25 – 36

= – 11 < 0

Therefore, D < 0 and the given equation has no real roots.

Finally, it can be said that the discriminant is the key to predicting the nature of quadratic equations. Once the value of the discriminant is calculated using its formula, the nature of the roots of a quadratic equation can be predicted.

Video about Adding And Subtracting Fractions A Math Drills Com

You can see more content about Adding And Subtracting Fractions A Math Drills Com on our youtube channel: Click Here

Question about Adding And Subtracting Fractions A Math Drills Com

If you have any questions about Adding And Subtracting Fractions A Math Drills Com, please let us know, all your questions or suggestions will help us improve in the following articles!

The article Adding And Subtracting Fractions A Math Drills Com was compiled by me and my team from many sources. If you find the article Adding And Subtracting Fractions A Math Drills Com helpful to you, please support the team Like or Share!

Rate Articles Adding And Subtracting Fractions A Math Drills Com

Rate: 4-5 stars
Ratings: 9949
Views: 12759107

Search keywords Adding And Subtracting Fractions A Math Drills Com

Adding And Subtracting Fractions A Math Drills Com
way Adding And Subtracting Fractions A Math Drills Com
tutorial Adding And Subtracting Fractions A Math Drills Com
Adding And Subtracting Fractions A Math Drills Com free
#Nature #Roots #Quadratic #Equations

Source: https://ezinearticles.com/?How-To-Tell-The-Nature-Of-Roots-Of-Quadratic-Equations!&id=5554321

Related Posts

default-image-feature

Activities For Common Core Math Standards latest 2023

You are searching about Activities For Common Core Math Standards, today we will share with you article about Activities For Common Core Math Standards was compiled and…

default-image-feature

Act Practice Math Questions With Answers latest 2023

You are searching about Act Practice Math Questions With Answers, today we will share with you article about Act Practice Math Questions With Answers was compiled and…

default-image-feature

Big Ideas Math Advanced 1 Answers latest 2023

You are searching about Big Ideas Math Advanced 1 Answers, today we will share with you article about Big Ideas Math Advanced 1 Answers was compiled and…

default-image-feature

Big Ideas Math A Bridge To Success latest 2023

You are searching about Big Ideas Math A Bridge To Success, today we will share with you article about Big Ideas Math A Bridge To Success was…

default-image-feature

Big Ideas Math 7 Answer Key latest 2023

You are searching about Big Ideas Math 7 Answer Key, today we will share with you article about Big Ideas Math 7 Answer Key was compiled and…

default-image-feature

Big Ideas Math 6 Answer Key latest 2023

You are searching about Big Ideas Math 6 Answer Key, today we will share with you article about Big Ideas Math 6 Answer Key was compiled and…