三次方程的意思、翻譯和例句

是什麼意思

「三次方程」是指一種數學方程式,其形式為 ax³ + bx² + cx + d = 0,其中 a、b、c 和 d 是常數,且 a ≠ 0。這類方程的最高次數為三,因此稱為三次方程。三次方程的解法包括因式分解、使用牛頓法、或利用三次方程的公式來求解。三次方程在數學、物理學和工程學中有著廣泛的應用。

依照不同程度的英文解釋

  1. An equation with a highest power of three.
  2. A math statement that can have three solutions.
  3. A type of equation that involves cubes.
  4. An equation that can be represented in the form of x raised to the power of three.
  5. A polynomial equation that is of degree three.
  6. A mathematical expression set to zero that includes terms up to the third power.
  7. A polynomial equation where the highest exponent of the variable is three.
  8. An algebraic equation that can be solved to find up to three roots.
  9. A cubic polynomial equation that can be analyzed for its roots and behavior.
  10. A mathematical function of degree three that can yield one real root and two complex roots.

相關英文單字或片語的差別與用法

1:Cubic equation

用法:

這是三次方程的另一種稱呼,通常用於數學和工程領域。它表示一個多項式,其中變數的最高次方為三。這類方程在許多數學問題中出現,並且有各種方法可以解決它們。

例句及翻譯:

例句 1:

我們需要找到這個三次方程的根。

We need to find the roots of this cubic equation.

例句 2:

這個三次方程的圖形是如何呈現的?

How does the graph of this cubic equation look?

例句 3:

解這個三次方程需要用到公式。

Solving this cubic equation requires using a formula.

2:Polynomial of degree three

用法:

這是用來描述三次方程的一種數學術語,強調其多項式的特性。它指出該方程的最高次數為三,並且包含三個變數的項。這類多項式在數學分析中非常重要。

例句及翻譯:

例句 1:

這個多項式的最高次數是三,因此它是一個三次多項式。

The highest degree of this polynomial is three, so it is a cubic polynomial.

例句 2:

我們在課堂上學習了如何繪製三次多項式的圖形。

We learned how to graph a polynomial of degree three in class.

例句 3:

三次多項式的根可以是實數或複數。

The roots of a polynomial of degree three can be real or complex.

3:Third-degree equation

用法:

這是另一種描述三次方程的方式,強調其數學性質。它指出該方程的次數為三,並且可以用來描述各種現象。

例句及翻譯:

例句 1:

這個第三次方程的解法很重要。

The solution to this third-degree equation is very important.

例句 2:

我們需要學習如何解這類第三次方程

We need to learn how to solve this type of third-degree equation.

例句 3:

三次方程的根可以通過多種方法找到。

The roots of a third-degree equation can be found using various methods.