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单词 completing the square
释义

completing the square

The quadratic equation 2x2 + 5x + 1 = 0 can be solved by first writing it as

and then

This step is known as completing the square: the left-hand side is made into an exact square by adding a suitable constant to both sides. The solutions for x can then be arrived at by taking square roots and rearranging. Applying this method to the general quadratic equation derives the quadratic formula.

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更新时间:2025/4/29 22:58:49