How many solutions exist for a quadratic equation

You will learn more about this in A level Further Maths, or perhaps at University, but if this sounds interesting please do check them out via Google. However, for your GCSEs, saying that there are no solutions will be good enough for the exam! How do I know how many solutions a quadratic equation has?

In order to find the number of solutions, we shall split the quadratic equation into 3 cases. Has no solutions. Lastly, if b 2 - 4 ac is less than 0 we have no solutions. So there you have it! You can still navigate around the site and check out our free content, but some functionality, such as sign up, will not work.

If you do have javascript enabled there may have been a loading error; try refreshing your browser. Home Algebra System of Equations. Still Confused? Nope, got it. Play next lesson. Try reviewing these fundamentals first System of linear-quadratic equations Solving quadratic equations by factoring Solving quadratic equations using the quadratic formula. That's the last lesson Go to next topic.

Still don't get it? Review these basic concepts… System of linear-quadratic equations Solving quadratic equations by factoring Solving quadratic equations using the quadratic formula Nope, I got it.

Trending Here are the facts and trivia that people are buzzing about. Is Vatican City a Country? The Languages of Africa. The Mongol Empire. The Most and Least Religious Countries. FEN Learning is part of Sandbox Networks, a digital learning company that operates education services and products for the 21st century.

Reset your password if you forgot it. Quadratics: solvers Quadratics. Answers archive Answers. Lessons Lessons. Word Problems Word.

In Depth In.