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单词 Quadratic model
释义

Quadratic model

中文百科

一元二次方程 Quadratic equation

(重定向自Quadratic model)
Lage der quadratischen Parabeln und Auswirkungen auf die Zahl der Nullstellen

一元二次方程序是只含有一个未知数,并且未知数的最高次数是二次的多项式方程。

例如,x^2-3x+2= 0\left (3-2i \right)x^2+\sqrt[\pi]{23-6i}x-\sin 2=0t^2-3=0等都是一元二次方程。

一元二次方程序的一般形式是:

ax^2+bx+c=0 \qquad \left(a \ne 0 \right)

其中,ax^2是二次项,bx是一次项,c是常数项。a \ne 0是一个重要条件,否则就不能保证该方程未知数的最高次数是二次。当然,在强调了是一元二次方程之后,a \ne 0也可以省略不写。当然,一元二次方程序有时会出现虚数根。

英语百科

Quadratic equation 一元二次方程

(重定向自Quadratic model)
Figure 1. Plots of quadratic function y = ax2 + bx + c, varying each coefficient separately while the other coefficients are fixed (at values a = 1, b = 0, c = 0)
Figure 2. For the quadratic function y = x2 − x − 2, the points where the graph crosses the x-axis, x = −1 and x = 2, are the solutions of the quadratic equation x2 − x − 2 = 0.
Figure 3. Discriminant signs
For the case of more than one variable, see Conic section or Quadratic form.

In elementary algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form

where x represents an unknown, and a, b, and c represent known numbers such that a is not equal to 0. If a = 0, then the equation is linear, not quadratic. The numbers a, b, and c are the coefficients of the equation, and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.

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更新时间:2025/6/26 22:40:31