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受欢迎的代数 >

1250= 1/10 x(300-x)

解答

1250 = \frac{1}{10} x (300 - x)

解答

x = 50, x = 250

求解步骤

1250 = \frac{1}{10} x (300 - x)

在两边乘以

10

12500 = x (300 - x)

展开

x (300 - x) : 300 x - x^{2}

12500 = 300 x - x^{2}

交换两边

300 x - x^{2} = 12500

将

12500

para o lado esquerdo

300 x - x^{2} - 12500 = 0

改写成标准形式

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

- x^{2} + 300 x - 12500 = 0

使用求根公式求解

x_{1, 2} = \frac{- 300 \pm 30 0 ^{2} - 4 ( - 1 ) ( - 12500 )}{2 ( - 1 )}

30 0^{2} - 4 (- 1) (- 12500) = 200

x_{1, 2} = \frac{- 300 \pm 200}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 300 + 200}{2 ( - 1 )}, x_{2} = \frac{- 300 - 200}{2 ( - 1 )}

x = \frac{- 300 + 200}{2 ( - 1 )} : 50

x = \frac{- 300 - 200}{2 ( - 1 )} : 250

二次方程组的解是:

x = 50, x = 250

作图

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