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 >

6x^2=13x+15

解答

6 x^{2} = 13 x + 15

解答

x = 3, x = - \frac{5}{6}

+1

十进制

x = 3, x = - 0.83333 \dots

求解步骤

6 x^{2} = 13 x + 15

将

15

para o lado esquerdo

6 x^{2} - 15 = 13 x

将

13 x

para o lado esquerdo

6 x^{2} - 15 - 13 x = 0

改写成标准形式

a x^{2} + b x + c = 0

6 x^{2} - 13 x - 15 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 6 ( - 15 )}{2 \cdot 6}

(- 13)^{2} - 4 \cdot 6 (- 15) = 23

x_{1, 2} = \frac{- ( - 13 ) \pm 23}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 13 ) + 23}{2 \cdot 6}, x_{2} = \frac{- ( - 13 ) - 23}{2 \cdot 6}

x = \frac{- ( - 13 ) + 23}{2 \cdot 6} : 3

x = \frac{- ( - 13 ) - 23}{2 \cdot 6} : - \frac{5}{6}

二次方程组的解是:

x = 3, x = - \frac{5}{6}

作图

流行的例子

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

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

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