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=10x^2-24x^3

解答

- 4 x = 10 x^{2} - 24 x^{3}

解答

x = 0, x = - \frac{1}{4}, x = \frac{2}{3}

+1

十进制

x = 0, x = - 0.25, x = 0.66666 \dots

求解步骤

- 4 x = 10 x^{2} - 24 x^{3}

交换两边

10 x^{2} - 24 x^{3} = - 4 x

将

4 x

para o lado esquerdo

10 x^{2} - 24 x^{3} + 4 x = 0

因式分解

10 x^{2} - 24 x^{3} + 4 x : - 2 x (4 x + 1) (3 x - 2)

- 2 x (4 x + 1) (3 x - 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 4 x + 1 = 0 or 3 x - 2 = 0

解

4 x + 1 = 0 : x = - \frac{1}{4}

解

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

解为

x = 0, x = - \frac{1}{4}, x = \frac{2}{3}

作图

流行的例子

x^{3} - 15 x - 4 = 0

-2x(100x^2-9)(x^2+81)=0

- 2 x (100 x^{2} - 9) (x^{2} + 81) = 0

7 x^{4} - 63 x^{2} = 0

-(-10x+1)-4x=7x^7x

- (- 10 x + 1) - 4 x = 7 x^{7} x

4x^3+4x^2-25x-25=0

4 x^{3} + 4 x^{2} - 25 x - 25 = 0