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Completing the square is a technique used to find the zeros/solutions to a polynomial equation; ex) x2 + 2x = 15. To complete the square, one must have a trinomial square on one side of the equation. To do so, add 1 to each side of the previous equation. x2 + 2x + 1 = 16. This will allow you to factor the first side of the equation so that you can take the square root of both sides. (x + 1)(x+1) = 16 => (x + 1)2 = 16. Take the square root of both sides: x + 1 = ± 4.
Thus x = -3, 5
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What is the third step in solving this equation by completing the square?
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.
Where does the name completing the square come from?
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.
Is there a math problem that cannot be solved by completing the square?
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
What are Real world applications with completing the square?
NO
What is generalized least square method?
Generalized Least Square Method also called Least Cubic Method
