zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

4x^3-6x^2=10x-15

解答

4 x^{3} - 6 x^{2} = 10 x - 15

解答

x = \frac{3}{2}, x = - \frac{5}{2}, x = \frac{5}{2}

+1

十进制

x = 1.5, x = - 1.58113 \dots, x = 1.58113 \dots

求解步骤

4 x^{3} - 6 x^{2} = 10 x - 15

将

15

para o lado esquerdo

4 x^{3} - 6 x^{2} + 15 = 10 x

将

10 x

para o lado esquerdo

4 x^{3} - 6 x^{2} + 15 - 10 x = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

4 x^{3} - 6 x^{2} - 10 x + 15 = 0

因式分解

4 x^{3} - 6 x^{2} - 10 x + 15 : (2 x - 3) (2 x + 5) (2 x - 5)

(2 x - 3) (2 x + 5) (2 x - 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

2 x - 3 = 0 or 2 x + 5 = 0 or 2 x - 5 = 0

解

2 x - 3 = 0 : x = \frac{3}{2}

解

2 x + 5 = 0 : x = - \frac{5}{2}

解

2 x - 5 = 0 : x = \frac{5}{2}

解为

x = \frac{3}{2}, x = - \frac{5}{2}, x = \frac{5}{2}

作图

流行的例子

-2x(x^2-5)(x^2+1)=0

- 2 x (x^{2} - 5) (x^{2} + 1) = 0

x^{4} - 7 x^{2} - 5 = 0

2 x^{3} + 5 x + 7 = 0

x x^{2} + 5 x + 2 = - 4

x^3+12x^2+29*+18=0

x^{3} + 12 x^{2} + 29 \cdot + 18 = 0