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 >

completesquare 3x^2+4x

解答

配方

3 x^{2} + 4 x

解答

3 (x + \frac{2}{3})^{2} - \frac{4}{3}

求解步骤

3 x^{2} + 4 x

将

3 x^{2} + 4 x

改写为如下形式:

x^{2} + 2 a x + a^{2}

因式分解

3

3 (x^{2} + \frac{4 x}{3})

2 a = \frac{4}{3} : a = \frac{2}{3}

加和减

(\frac{2}{3})^{2}

3 (x^{2} + \frac{4 x}{3} + (\frac{2}{3})^{2} - (\frac{2}{3})^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + \frac{4}{3} x + (\frac{2}{3})^{2} = (x + \frac{2}{3})^{2}

3 ((x + \frac{2}{3})^{2} - (\frac{2}{3})^{2})

化简

3 (x + \frac{2}{3})^{2} - \frac{4}{3}

作图

流行的例子

x^2+2/3 x-2/9 =0

x^{2} + \frac{2}{3} x - \frac{2}{9} = 0

4 x^{2} + 4 x - 2 = 7 x

-16x^2+240x+180=0

- 16 x^{2} + 240 x + 180 = 0

9 x^{2} - 30 x - 25 = 0

9 x^{2} - 8 x = 0