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 >

1/20 x^2+3x+50=0

解答

\frac{1}{20} x^{2} + 3 x + 50 = 0

解答

x = - 30 + 10 i, x = - 30 - 10 i

求解步骤

\frac{1}{20} x^{2} + 3 x + 50 = 0

在两边乘以

20

x^{2} + 60 x + 1000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 60 \pm 6 0 ^{2} - 4 \cdot 1 \cdot 1000}{2 \cdot 1}

化简

6 0^{2} - 4 \cdot 1 \cdot 1000 : 20 i

x_{1, 2} = \frac{- 60 \pm 20 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 60 + 20 i}{2 \cdot 1}, x_{2} = \frac{- 60 - 20 i}{2 \cdot 1}

x = \frac{- 60 + 20 i}{2 \cdot 1} : - 30 + 10 i

x = \frac{- 60 - 20 i}{2 \cdot 1} : - 30 - 10 i

二次方程组的解是:

x = - 30 + 10 i, x = - 30 - 10 i

作图

流行的例子

(x-3)(2x-1)+(x-3)(-x+5)=0

(x - 3) (2 x - 1) + (x - 3) (- x + 5) = 0

3*(x+2)*(x-2)=(x-4)^2+8x

3 \cdot (x + 2) \cdot (x - 2) = (x - 4)^{2} + 8 x

x^{2} - x + 400 = 0

x-12=(x+4)(x+11)

x - 12 = (x + 4) (x + 11)

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