The first step, in solving a quadratic equation in a variable x using this method, is to complete the square defined by the terms in x2 and x, by adding and subtracting a suitable constant.
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If you aren't dealing with algebra, such as x2+3x+21, then completing the square wont be able to solve the porblem, however if you are using algebra, and you cannot factorise, then completing the square will always work
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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.
Four? Factoring Graphing Quadratic Equation Completing the Square There may be more, but there's at least four.
X+y^2+2y=-1