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 >

(60-3x)× (32-x)=480

解答

(60 - 3 x) \cdot (32 - x) = 480

解答

x = 40, x = 12

求解步骤

(60 - 3 x) (32 - x) = 480

展开

(60 - 3 x) (32 - x) : 1920 - 156 x + 3 x^{2}

1920 - 156 x + 3 x^{2} = 480

将

480

para o lado esquerdo

3 x^{2} - 156 x + 1440 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 156 ) \pm ( - 156 ) ^{2} - 4 \cdot 3 \cdot 1440}{2 \cdot 3}

(- 156)^{2} - 4 \cdot 3 \cdot 1440 = 84

x_{1, 2} = \frac{- ( - 156 ) \pm 84}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 156 ) + 84}{2 \cdot 3}, x_{2} = \frac{- ( - 156 ) - 84}{2 \cdot 3}

x = \frac{- ( - 156 ) + 84}{2 \cdot 3} : 40

x = \frac{- ( - 156 ) - 84}{2 \cdot 3} : 12

二次方程组的解是:

x = 40, x = 12

作图

流行的例子

- x^{2} = 12

4a^2x^2+8ax+3=0

4 a^{2} x^{2} + 8 a x + 3 = 0

2 x^{2} - 11 x + 16 = 0

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

81 x^{2} + 49 = 0