The roots of any quadratic equation can be found by either method. Which of the two you use may depend on nothing more than your preferences (or exam instructions!). There is never a need to use both methods since if you have used one you have the answer so why bother with the other.
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It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.
The discriminant
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
Yes