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 >

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

解答

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

解答

x = \frac{1 + 15}{2}, x = \frac{1 - 15}{2}

+1

十进制

x = 2.43649 \dots, x = - 1.43649 \dots

求解步骤

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

展开

(x - 2) (2 x + 3) : 2 x^{2} - x - 6

2 x^{2} - x - 6 = x + 1

将

1

para o lado esquerdo

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

将

x

para o lado esquerdo

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

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 2 ( - 7 )}{2 \cdot 2}

(- 2)^{2} - 4 \cdot 2 (- 7) = 215

x_{1, 2} = \frac{- ( - 2 ) \pm 2 15}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 15}{2 \cdot 2}, x_{2} = \frac{- ( - 2 ) - 2 15}{2 \cdot 2}

x = \frac{- ( - 2 ) + 2 15}{2 \cdot 2} : \frac{1 + 15}{2}

x = \frac{- ( - 2 ) - 2 15}{2 \cdot 2} : \frac{1 - 15}{2}

二次方程组的解是:

x = \frac{1 + 15}{2}, x = \frac{1 - 15}{2}

作图

流行的例子

(m-3)x^2-2mx+m+2=0

(m - 3) x^{2} - 2 m x + m + 2 = 0

- 6 x^{2} = 3 x - 3

2 x^{2} - 3 = 15

0=x^2-x*10^{-4.76}-0.2*10^{-4.76}

0 = x^{2} - x \cdot 1 0^{- 4.76} - 0.2 \cdot 1 0^{- 4.76}

x - 1 = 1 - x^{2}