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 >

45z^3+18z^2-5z-2=0

解答

45 z^{3} + 18 z^{2} - 5 z - 2 = 0

解答

z = - \frac{2}{5}, z = - \frac{1}{3}, z = \frac{1}{3}

+1

十进制

z = - 0.4, z = - 0.33333 \dots, z = 0.33333 \dots

求解步骤

45 z^{3} + 18 z^{2} - 5 z - 2 = 0

因式分解

45 z^{3} + 18 z^{2} - 5 z - 2 : (5 z + 2) (3 z + 1) (3 z - 1)

(5 z + 2) (3 z + 1) (3 z - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

5 z + 2 = 0 or 3 z + 1 = 0 or 3 z - 1 = 0

解

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

解

3 z + 1 = 0 : z = - \frac{1}{3}

解

3 z - 1 = 0 : z = \frac{1}{3}

解为

z = - \frac{2}{5}, z = - \frac{1}{3}, z = \frac{1}{3}

作图

流行的例子

-x^3-2x^2-4x-8=0

- x^{3} - 2 x^{2} - 4 x - 8 = 0

5 x^{4} + 3 x^{2} = 0

9x^6+6x^4-10000=0

9 x^{6} + 6 x^{4} - 10000 = 0

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

12x^3+27x^2-30x=0

12 x^{3} + 27 x^{2} - 30 x = 0