“completing the square”的概念、定义、翻译、参考文献-科学参考

completing the square

Mathematics

单词	completing the square
释义	completing the square Mathematics The quadratic equation 2x² + 5x + 1 = 0 can be solved by first writing it as $x^{2} + \frac{5}{2} x = - \frac{1}{2},$ and then ${(x + \frac{5}{4})}^{2} = - \frac{1}{2} + \frac{25}{16} = \frac{17}{16} .$ 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.
随便看	equinoctial colure equinoctial gale equinox equinumerous equipartition of energy equipment bay equipollence equipollent equipotent equipotential equipotential line equipotential surface equiprobable equiripple Equisetites hemingwayi Equisetum equities equity equity capital equity-linked assurance equity withdrawal equivalence equivalence class equivalence gate equivalence, material