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 >

4x^2=-4x-16

解答

4 x^{2} = - 4 x - 16

解答

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

求解步骤

4 x^{2} = - 4 x - 16

将

16

para o lado esquerdo

4 x^{2} + 16 = - 4 x

将

4 x

para o lado esquerdo

4 x^{2} + 16 + 4 x = 0

改写成标准形式

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

4 x^{2} + 4 x + 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 4 \cdot 16}{2 \cdot 4}

化简

4^{2} - 4 \cdot 4 \cdot 16 : 415 i

x_{1, 2} = \frac{- 4 \pm 4 15 i}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 4 + 4 15 i}{2 \cdot 4}, x_{2} = \frac{- 4 - 4 15 i}{2 \cdot 4}

x = \frac{- 4 + 4 15 i}{2 \cdot 4} : - \frac{1}{2} + i \frac{15}{2}

x = \frac{- 4 - 4 15 i}{2 \cdot 4} : - \frac{1}{2} - i \frac{15}{2}

二次方程组的解是:

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

作图

流行的例子

3 g^{2} - 10 g - 13 = 0

x^{2} + 5^{2} + 2 = - 4

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

10 = 2 + 23 t - 16 t^{2}

x^{2} - x - 10 = x + 5