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 >

7-1/4 x^2-4/3 x=0

解答

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

解答

x = - \frac{2 ( 4 + 79 )}{3}, x = \frac{2 ( 79 - 4 )}{3}

+1

十进制

x = - 8.59212 \dots, x = 3.25879 \dots

求解步骤

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

找到

4, 3

的最小公倍数:

12

乘以最小公倍数=

12

7 \cdot 12 - \frac{1}{4} x^{2} \cdot 12 - \frac{4}{3} x \cdot 12 = 0 \cdot 12

化简

- 3 x^{2} - 16 x + 84 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 ( - 3 ) \cdot 84}{2 ( - 3 )}

(- 16)^{2} - 4 (- 3) \cdot 84 = 479

x_{1, 2} = \frac{- ( - 16 ) \pm 4 79}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 4 79}{2 ( - 3 )}, x_{2} = \frac{- ( - 16 ) - 4 79}{2 ( - 3 )}

x = \frac{- ( - 16 ) + 4 79}{2 ( - 3 )} : - \frac{2 ( 4 + 79 )}{3}

x = \frac{- ( - 16 ) - 4 79}{2 ( - 3 )} : \frac{2 ( 79 - 4 )}{3}

二次方程组的解是:

x = - \frac{2 ( 4 + 79 )}{3}, x = \frac{2 ( 79 - 4 )}{3}

作图

流行的例子

completesquare 2x^2+4x+3

co m pl e t es q u a re 2 x^{2} + 4 x + 3

8 r^{2} - 2 r - 7 = 6 r^{2}

4^{2} + 8^{2} = c^{2}

z^{2} - 4 z - 5 = 4 z

2 x (x - 2) = 0