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= 1/2 (0.5)(4.2-400x)^2

解答

x = \frac{1}{2} (0.5) (4.2 - 400 x)^{2}

解答

x = \frac{841 + 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}, x = \frac{841 - 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}

+1

十进制

x = 0.011025, x = 0.01

求解步骤

x = \frac{1}{2} (0.5) (4.2 - 400 x)^{2}

在两边乘以

2

2 x = 0.5 (4.2 - 400 x)^{2}

展开

0.5 (4.2 - 400 x)^{2} : 8.82 - 1680 x + 80000 x^{2}

2 x = 8.82 - 1680 x + 80000 x^{2}

交换两边

8.82 - 1680 x + 80000 x^{2} = 2 x

将

2 x

para o lado esquerdo

80000 x^{2} - 1682 x + 8.82 = 0

两边除以

80000

\frac{80000 x ^{2}}{80000} - \frac{1682 x}{80000} + \frac{8.82}{80000} = \frac{0}{80000}

改写成标准形式

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

x^{2} - \frac{841 x}{40000} + \frac{8.82}{80000} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - \frac{841}{40000} ) \pm ( - \frac{841}{40000} ) ^{2} - 4 \cdot 1 \cdot \frac{8.82}{80000}}{2 \cdot 1}

(- \frac{841}{40000})^{2} - 4 \cdot 1 \cdot \frac{8.82}{80000} = \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}

x_{1, 2} = \frac{- ( - \frac{841}{40000} ) \pm \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - \frac{841}{40000} ) + \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{841}{40000} ) - \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1}

x = \frac{- ( - \frac{841}{40000} ) + \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1} : \frac{841 + 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}

x = \frac{- ( - \frac{841}{40000} ) - \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{2 \cdot 1} : \frac{841 - 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}

二次方程组的解是:

x = \frac{841 + 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}, x = \frac{841 - 40000 \frac{707281}{4000 0 ^{2}} - \frac{35.28}{80000}}{80000}

作图

流行的例子

-5.6-10.4x+2.2x=11.62

- 5.6 - 10.4 x + 2.2 x = 11.62

因式分解 r^2-14r+45

f a c t or r^{2} - 14 r + 45

化简 4x^3*2x^3

s im pl i f y 4 x^{3} \cdot 2 x^{3}

化简 e^{i*pi/4}

s im pl i f y e^{i \cdot \frac{π}{4}}

x^{2} - 8 x = - 12