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 >

3.4*10^{-6}=x(0.5+x)

解答

3.4 \cdot 1 0^{- 6} = x (0.5 + x)

解答

x = \frac{- 0.5 + 0.2500136}{2}, x = \frac{- 0.5 - 0.2500136}{2}

+1

十进制

x = 6.79991 E - 6, x = - 0.50000 \dots

求解步骤

3.4 \cdot 1 0^{- 6} = x (0.5 + x)

展开

3.4 \cdot 1 0^{- 6} : 0.0000034

展开

x (0.5 + x) : 0.5 x + x^{2}

0.0000034 = 0.5 x + x^{2}

交换两边

0.5 x + x^{2} = 0.0000034

将

0.0000034

para o lado esquerdo

0.5 x + x^{2} - 0.0000034 = 0

改写成标准形式

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

x^{2} + 0.5 x - 0.0000034 = 0

使用求根公式求解

x_{1, 2} = \frac{- 0.5 \pm 0. 5 ^{2} - 4 \cdot 1 \cdot ( - 0.0000034 )}{2 \cdot 1}

0. 5^{2} - 4 \cdot 1 \cdot (- 0.0000034) = 0.2500136

x_{1, 2} = \frac{- 0.5 \pm 0.2500136}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 0.5 + 0.2500136}{2 \cdot 1}, x_{2} = \frac{- 0.5 - 0.2500136}{2 \cdot 1}

x = \frac{- 0.5 + 0.2500136}{2 \cdot 1} : \frac{- 0.5 + 0.2500136}{2}

x = \frac{- 0.5 - 0.2500136}{2 \cdot 1} : \frac{- 0.5 - 0.2500136}{2}

二次方程组的解是:

x = \frac{- 0.5 + 0.2500136}{2}, x = \frac{- 0.5 - 0.2500136}{2}

作图

流行的例子

completesquare 4x^2+16x+8=0

co m pl e t es q u a re 4 x^{2} + 16 x + 8 = 0

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

25 x^{2} - 9 x = 0

x^{2} = - 361

0=-0.06x^2+1.31x+1.38

0 = - 0.06 x^{2} + 1.31 x + 1.38