quadratic
Significado: Relating to or involving the second power of a variable. A quadratic equation has the general form ax^2 + bx + c = 0, where a is not zero.
Quadratic equations are among the first non-linear equations students encounter and can be solved by factorisation, completing the square, or the quadratic formula. Their graphs form parabolas. The word is also used in 'quadratic function,' 'quadratic growth,' and 'quadratic residue.' Despite the 'quad-' prefix suggesting four, the term refers to squaring (the second power), because a square has four sides. It collocates with 'equation,' 'formula,' 'function,' 'expression,' and 'curve.'
Ejemplos
- The quadratic formula provides the roots of any equation in the form ax^2 + bx + c = 0. 求根公式可以求出ax² + bx + c = 0形式的任何方程的根。La fórmula cuadrática proporciona las raíces de cualquier ecuación de la forma ax² + bx + c = 0.二次方程式の公式はax² + bx + c = 0の形のあらゆる方程式の根を与えます。근의 공식은 ax² + bx + c = 0 형태의 모든 방정식의 근을 구해 줍니다.
- She solved the quadratic equation by completing the square rather than using the formula. 她通过配方法而非使用公式来解二次方程。Resolvió la ecuación cuadrática completando el cuadrado en lugar de utilizar la fórmula.彼女は公式を使わずに平方完成で二次方程式を解きました。그녀는 공식을 사용하지 않고 완전제곱식으로 변환하여 이차방정식을 풀었습니다.
- The trajectory of the projectile followed a quadratic curve as predicted by the model. 抛射体的运动轨迹如模型预测的那样呈二次曲线。La trayectoria del proyectil describió una curva cuadrática tal como predecía el modelo.飛翔体の軌道はモデルの予測通り二次曲線を描きました。발사체의 궤적은 모델이 예측한 대로 이차곡선(포물선)을 그렸습니다.
Pronunciación
Guía de uso
Contexto: academic, scientific
Tono: neutral
Origen e historia
From Latin quadratus (made square), past participle of quadrare (to make square), from quattuor (four). The mathematical sense developed in the 17th century, referring to the squaring of a variable.
Contexto cultural
Era: Modern
Generation: All ages
Social background: Universal
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