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 >

c=1600-10x+0.25x^2

解答

c = 1600 - 10 x + 0.25 x^{2}

解答

x = 2 (c - 1500 + 10), x = 2 (- c - 1500 + 10)

求解步骤

c = 1600 - 10 x + 0.25 x^{2}

在两边乘以

100

c \cdot 100 = 160000 - 1000 x + 25 x^{2}

交换两边

160000 - 1000 x + 25 x^{2} = c \cdot 100

将

c 100

para o lado esquerdo

160000 - 1000 x + 25 x^{2} - c \cdot 100 = 0

改写成标准形式

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

25 x^{2} - 1000 x + 160000 - c \cdot 100 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1000 ) \pm ( - 1000 ) ^{2} - 4 \cdot 25 ( 160000 - c \cdot 100 )}{2 \cdot 25}

化简

(- 1000)^{2} - 4 \cdot 25 (160000 - c \cdot 100) : 100 c - 1500

x_{1, 2} = \frac{- ( - 1000 ) \pm 100 c - 1500}{2 \cdot 25}

将解分隔开

x_{1} = \frac{- ( - 1000 ) + 100 c - 1500}{2 \cdot 25}, x_{2} = \frac{- ( - 1000 ) - 100 c - 1500}{2 \cdot 25}

x = \frac{- ( - 1000 ) + 100 c - 1500}{2 \cdot 25} : 2 (c - 1500 + 10)

x = \frac{- ( - 1000 ) - 100 c - 1500}{2 \cdot 25} : 2 (- c - 1500 + 10)

二次方程组的解是:

x = 2 (c - 1500 + 10), x = 2 (- c - 1500 + 10)

作图

流行的例子

completesquare-2x^2-x+12

co m pl e t es q u a re - 2 x^{2} - x + 12

x^{2} + 7^{2} = 1 3^{2}

(x - a) (x - b) = 0

8x^2+19x+13=2x^2-x

8 x^{2} + 19 x + 13 = 2 x^{2} - x

3 x^{2} - 6 x^{2} = 0