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 >

9x^2-48x+65=0

解答

9 x^{2} - 48 x + 65 = 0

解答

x = \frac{8}{3} + i \frac{1}{3}, x = \frac{8}{3} - i \frac{1}{3}

求解步骤

9 x^{2} - 48 x + 65 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 48 ) \pm ( - 48 ) ^{2} - 4 \cdot 9 \cdot 65}{2 \cdot 9}

化简

(- 48)^{2} - 4 \cdot 9 \cdot 65 : 6 i

x_{1, 2} = \frac{- ( - 48 ) \pm 6 i}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 48 ) + 6 i}{2 \cdot 9}, x_{2} = \frac{- ( - 48 ) - 6 i}{2 \cdot 9}

x = \frac{- ( - 48 ) + 6 i}{2 \cdot 9} : \frac{8}{3} + i \frac{1}{3}

x = \frac{- ( - 48 ) - 6 i}{2 \cdot 9} : \frac{8}{3} - i \frac{1}{3}

二次方程组的解是:

x = \frac{8}{3} + i \frac{1}{3}, x = \frac{8}{3} - i \frac{1}{3}

作图

流行的例子

- x^{2} + x - 4 = 0

- 3 + 4 x^{2} - 2 x = 4 x

x^{2} + 1 6^{2} = 2 0^{2}

(x-3)(4+3)-x^2-5/4 =(x-x/5)-(3x-3/4)

(x - 3) (4 + 3) - x^{2} - \frac{5}{4} = (x - \frac{x}{5}) - (3 x - \frac{3}{4})

x^{2} + \frac{3}{2} x + 1 = 0