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Completing the square is the oldest method of solving general quadratic equations, used in Old Babylonian clay tablets dating from 1800–1600 BCE, and is still taught in elementary algebra courses today.
Completing the square can be used to derive a general formula for solving quadratic equations, called the quadratic formula. [9] The mathematical proof will now be briefly summarized. [ 10 ] It can easily be seen, by polynomial expansion , that the following equation is equivalent to the quadratic equation: ( x + b 2 a ) 2 = b 2 − 4 a c 4 a 2 ...
The quadratic equation on a number can be solved using the well-known quadratic formula, which can be derived by completing the square. That formula always gives the roots of the quadratic equation, but the solutions are expressed in a form that often involves a quadratic irrational number, which is an algebraic fraction that can be evaluated ...
WASHINGTON (Reuters) -The U.S. budget deficit jumped nearly four-fold to $257 billion in October, a figure inflated by one-off factors, the Treasury Department said on Wednesday in a report that ...
This method for completing the square is ancient and was known to the 8th–9th century Indian mathematician Śrīdhara. [12] Compared with the modern standard method for completing the square, this alternate method avoids fractions until the last step and hence does not require a rearrangement after step 3 to obtain a common denominator in the ...
A U.S. military appeals court has ruled that plea deals related to the man accused of masterminding the Sept. 11, 2001, attacks and two accomplices can proceed after Defense Secretary Lloyd Austin ...
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This equation states that , representing the square of the length of the side that is the hypotenuse, the side opposite the right angle, is equal to the sum (addition) of the squares of the other two sides whose lengths are represented by a and b. An equation is the claim that two expressions have the same value and are equal.
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