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^2-2sqrt(3)x-1=0

解答

x^{2} - 23 x - 1 = 0

解答

x = 3 + 2, x = 3 - 2

+1

十进制

x = 3.73205 \dots, x = - 0.26794 \dots

求解步骤

x^{2} - 23 x - 1 = 0

使用求根公式求解

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

(- 23)^{2} - 4 \cdot 1 \cdot (- 1) = 4

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

将解分隔开

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

x = \frac{- ( - 2 3 ) + 4}{2 \cdot 1} : 3 + 2

x = \frac{- ( - 2 3 ) - 4}{2 \cdot 1} : 3 - 2

二次方程组的解是:

x = 3 + 2, x = 3 - 2

作图

流行的例子

x^{2} - 22 x - 75 = 0

4 (x + 2)^{2} + 80 = 0

(2a+3)(3a-1)=24a

(2 a + 3) (3 a - 1) = 24 a

2 n^{2} - 9 = n^{2}

2 k^{2} = 3 - 5 k