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 >

200=0.1w^2+2.151w+20

解答

200 = 0.1 w^{2} + 2.151 w + 20

解答

w = \frac{- 2151 + 3 8514089}{200}, w = \frac{- 2151 - 3 8514089}{200}

+1

十进制

w = 33.01336 \dots, w = - 54.52336 \dots

求解步骤

200 = 0.1 w^{2} + 2.151 w + 20

在两边乘以

1000

200000 = 100 w^{2} + 2151 w + 20000

交换两边

100 w^{2} + 2151 w + 20000 = 200000

将

200000

para o lado esquerdo

100 w^{2} + 2151 w - 180000 = 0

使用求根公式求解

w_{1, 2} = \frac{- 2151 \pm 215 1 ^{2} - 4 \cdot 100 ( - 180000 )}{2 \cdot 100}

215 1^{2} - 4 \cdot 100 (- 180000) = 38514089

w_{1, 2} = \frac{- 2151 \pm 3 8514089}{2 \cdot 100}

将解分隔开

w_{1} = \frac{- 2151 + 3 8514089}{2 \cdot 100}, w_{2} = \frac{- 2151 - 3 8514089}{2 \cdot 100}

w = \frac{- 2151 + 3 8514089}{2 \cdot 100} : \frac{- 2151 + 3 8514089}{200}

w = \frac{- 2151 - 3 8514089}{2 \cdot 100} : \frac{- 2151 - 3 8514089}{200}

二次方程组的解是:

w = \frac{- 2151 + 3 8514089}{200}, w = \frac{- 2151 - 3 8514089}{200}

作图

流行的例子

-2(y^2+2y)+3(y^2-1)=5

- 2 (y^{2} + 2 y) + 3 (y^{2} - 1) = 5

1 = 2 x^{2}

- x^{2} + 6 x = 3

- 1 x^{2} + 7 x + 5 = 0

x^2-30x^2+125=0

x^{2} - 30 x^{2} + 125 = 0