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 >

3x^2+(3x)/2 = x/3-x+37/3+x^2

解答

3 x^{2} + \frac{3 x}{2} = \frac{x}{3} - x + \frac{37}{3} + x^{2}

解答

x = - \frac{37}{12}, x = 2

+1

十进制

x = - 3.08333 \dots, x = 2

求解步骤

3 x^{2} + \frac{3 x}{2} = \frac{x}{3} - x + \frac{37}{3} + x^{2}

找到

2, 3

的最小公倍数:

6

乘以最小公倍数=

6

3 x^{2} \cdot 6 + \frac{3 x}{2} \cdot 6 = \frac{x}{3} \cdot 6 - x \cdot 6 + \frac{37}{3} \cdot 6 + x^{2} \cdot 6

化简

18 x^{2} + 9 x = 2 x - 6 x + 74 + 6 x^{2}

18 x^{2} + 9 x = - 4 x + 74 + 6 x^{2}

交换两边

- 4 x + 74 + 6 x^{2} = 18 x^{2} + 9 x

将

9 x

para o lado esquerdo

6 x^{2} - 13 x + 74 = 18 x^{2}

将

18 x^{2}

para o lado esquerdo

- 12 x^{2} - 13 x + 74 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 ( - 12 ) \cdot 74}{2 ( - 12 )}

(- 13)^{2} - 4 (- 12) \cdot 74 = 61

x_{1, 2} = \frac{- ( - 13 ) \pm 61}{2 ( - 12 )}

将解分隔开

x_{1} = \frac{- ( - 13 ) + 61}{2 ( - 12 )}, x_{2} = \frac{- ( - 13 ) - 61}{2 ( - 12 )}

x = \frac{- ( - 13 ) + 61}{2 ( - 12 )} : - \frac{37}{12}

x = \frac{- ( - 13 ) - 61}{2 ( - 12 )} : 2

二次方程组的解是:

x = - \frac{37}{12}, x = 2

作图

流行的例子

- 8 = 8 (- 3 + a)

15 h + 30 < 10 h - 45

∣ 3 x + 4 ∣ = ∣ 5 x - 3 ∣

化简 \sqrt[4]{81/625}

s im pl i f y 4 \frac{81}{625}

化简 sqrt(2000)

s im pl i f y 2000