五次方方程的意思、翻譯和例句

是什麼意思

「五次方方程」是指一種多項式方程,其最高次數為五,即方程的形式為 ax^5 + bx^4 + cx^3 + dx^2 + ex + f = 0,其中 a, b, c, d, e, f 為常數,且 a 不等於零。這種方程的解通常涉及複雜的計算,並且可能有五個實數解或複數解。五次方方程的求解比二次或三次方方程更為複雜,因為在一般情況下,無法用代數方法得到其所有解。

依照不同程度的英文解釋

  1. An equation with x raised to the fifth power.
  2. A math statement that includes x to the fifth.
  3. A polynomial equation where the highest power of x is five.
  4. A mathematical expression that equals zero with x raised to the fifth.
  5. A complex equation that involves x raised to the fifth degree.
  6. A polynomial of degree five that may have multiple solutions.
  7. An algebraic equation involving a variable raised to the fifth power.
  8. An equation that can have up to five roots or solutions.
  9. A polynomial equation of the fifth degree that may require numerical methods for solving.
  10. A fifth-degree polynomial equation that can be quite challenging to solve.

相關英文單字或片語的差別與用法

1:Fifth-degree equation

用法:

指的是一種多項式方程,其最高次數為五。這類方程的解法相對複雜,通常需要使用數值方法或計算機輔助工具來獲得解。

例句及翻譯:

例句 1:

這個五次方方程的解需要用數值方法來找出。

The solution to this fifth-degree equation needs to be found using numerical methods.

例句 2:

他們正在研究如何解這個五次方方程

They are studying how to solve this fifth-degree equation.

例句 3:

學校的數學課上,我們學習了如何處理五次方方程

In math class, we learned how to handle fifth-degree equations.

2:Polynomial of degree five

用法:

這是一個數學術語,用來描述一個多項式,其最高次數為五。這類多項式通常有多個解,且解的計算過程可能會非常複雜。

例句及翻譯:

例句 1:

這個多項式的最高次數是五,因此它是一個五次多項式。

This polynomial has a highest degree of five, so it is a polynomial of degree five.

例句 2:

我們需要找到這個五次多項式的所有根。

We need to find all the roots of this polynomial of degree five.

例句 3:

在數學中,五次多項式的解法通常需要高級技巧。

In mathematics, solving a polynomial of degree five usually requires advanced techniques.

3:Fifth power equation

用法:

這個術語通常用來描述一個變量的五次方等於某個數的方程。這類方程的解法也可能涉及複雜的數學運算。

例句及翻譯:

例句 1:

這個方程是 x 的五次方等於 32。

This equation is x raised to the fifth power equals 32.

例句 2:

解這個五次方方程需要用到代數的知識。

Solving this fifth power equation requires knowledge of algebra.

例句 3:

在數學競賽中,我們遇到了一個五次方方程的問題。

In the math competition, we encountered a problem involving a fifth power equation.