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In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form + + to the form + for some values of and . [1] In terms of a new quantity x − h {\displaystyle x-h} , this expression is a quadratic polynomial with no linear term.
To complete the square, form a squared binomial on the left-hand side of a quadratic equation, from which the solution can be found by taking the square root of both sides. The standard way to derive the quadratic formula is to apply the method of completing the square to the generic quadratic equation a x 2 + b x + c = 0 {\displaystyle ...
The reason for the minus sign is that that makes h the value of x for which the square vanishes, and thus in later problems it is the x-coordinate of the vertex of the parabola. There is nothing essential about the "complete" square being larger than the square to which the rectangle is added.
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Average mortgage rates remain high across popular terms as of Friday, December 27, 2024, ending a quiet holiday week of consistent increases that have set borrowing costs for the 30-year benchmark ...
Indexes ended lower on Thursday as traders focused on the coming jobs report. The data is expected to show the US economy added 214,000 new hires, a steep uptick from October's reading.
A former TD Bank employee based in Florida was arrested and charged with facilitating money laundering to Colombia, New Jersey's attorney general said on Wednesday, in the first such arrest since ...
Squaring the square is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer length.) The name was coined in a humorous analogy with squaring the circle. Squaring the square is an easy task unless additional conditions are set.