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2x² - 4x +3
= 2(x² - 2x) + 3
= 2(x² - 2x + (2/2)²) + 3 - [2*(2/2)²]
(you add (2/2)² in equation. you need to subtract same amount [2*(2/2)²] in equation.)
= 2(x² - 2x + 1) + 3 - 2
= 2(x² - 2x + 1) + 1
= 2(x -1)² + 1
if you are still confused, I want you to follow the related link that explains the concept of completing the square clearly.
Completing the square is a method to solve quadratic equations. To use this method you take the number without a variable and subtract it from both sides, so that it is on the opposite side of the equation. Then add the square of half the coefficient of the x-term to both sides. This will give you a perfect square equation to solve for.
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What is completing the square used for?
Completing the square is a method used to solve a quadratic function. This is a handy method when there are two instances of the same variable in the function.
How can you use the 'completing the square' method to solve an equation when the coefficient of x squared is more than 1?
i want to solve few questions of completing square method can u give me some questions on it
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.
Can all quadratics be solved by completing the square?
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable
Solve 3x2-12x equals 15 using the method of completing the square?
Divide all terms by 3 so:- x2-4x = 5 Completing the square:- (x-2)2 = 9 x-2 = -/+3 x = -1 or x = 5
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.
What is an example of completing the square?
Completing the square would be the same as "Finding the square root" So an example would be 16. 16 is a perfect square so it would reduce to 4.
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
Who invented the principle of completing the square?
The Balylonians (around 400BC) first developed the algorithmic method for completing the square. But they didn't do it using equations, which they had no concept of, just a set of rules for particular cases. The Greeks, such as Euclid, showed geometrical proofs of the method. But it wasn't until the Persian mathematician al-Khawarizmi in the 9th century that the general algorithm was written down. Even this wasn't done using symbols like we use in algebra today but written out in prose.
How do you derived quadratic function?
I believe by completing the square.
To find the roots of 2xx-5x plus 1 equals 0 by bisection method?
I'm not familiar with the "bisection method" to find the roots of 2x2-5x+1 = 0 but by completing the square or using the quadratic equation formula you'll find that the solution is: x = (5 + or - the square root of 17) over 4 Hope that helps.
