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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.
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What equation results from completing the square and then factoring?
A quadratic equation
What is the principle square root of 64?
The principle square root of 64 is ±8.8.* * * * *The square roots of 64 are +8 and -8.The PRINCIPAL square root is the positive root, +8.So, the answer to the question that was asked is +8 not ±8.
Solving quadratic equation by completing the square?
Yes it is quite possible
Definition of principle square root?
The square root of a positive real number can either be +/-. The principle square root is defined as the positive value. sqrt(9) is +/- 3, but the principle square root of 9 is 3. For complex numbers the principle square root is the argument (or angle) of the complex number that lies between (-pi,pi]. I am pretty sure that the upper angle pi is closed while the lower angle -pi is open, but not 100%.
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
Who Invented The principle of Gravity?
the principle of gravity was invented by ichaak newton when the apple fell on his head
Who invented the tricolor principle of the color television?
Hovannes Adamian invented the tricolor principle of the color television.
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 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.
What are Real world applications with completing the square?
NO
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.
Who invented the 80 20 principle?
it is invented by tewedros anteneh yegzaw
How do you derived quadratic function?
I believe by completing the square.
where was the magic square invented?
The set square was invented in America in 1860.
When was a square invented?
A square is a shape and a shape cannot be invented.
Solve by completing the square x2 14x -24?
the problem is not proper to slove. I just want to suggest to follow the related link that explains the concept of completing the square clearly.
