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受欢迎的代数 >

0=x(75-0.0005x)-30x+250000

解答

0 = x (75 - 0.0005 x) - 30 x + 250000

解答

x = - \frac{- 45 + 5 101}{0.001}, x = \frac{45 + 5 101}{0.001}

+1

十进制

x = - 5249.37810 \dots, x = 95249.37810 \dots

求解步骤

0 = x (75 - 0.0005 x) - 30 x + 250000

展开

x (75 - 0.0005 x) - 30 x + 250000 : - 0.0005 x^{2} + 45 x + 250000

0 = - 0.0005 x^{2} + 45 x + 250000

交换两边

- 0.0005 x^{2} + 45 x + 250000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 45 \pm 4 5 ^{2} - 4 ( - 0.0005 ) \cdot 250000}{2 ( - 0.0005 )}

4 5^{2} - 4 (- 0.0005) \cdot 250000 = 5101

x_{1, 2} = \frac{- 45 \pm 5 101}{2 ( - 0.0005 )}

将解分隔开

x_{1} = \frac{- 45 + 5 101}{2 ( - 0.0005 )}, x_{2} = \frac{- 45 - 5 101}{2 ( - 0.0005 )}

x = \frac{- 45 + 5 101}{2 ( - 0.0005 )} : - \frac{- 45 + 5 101}{0.001}

x = \frac{- 45 - 5 101}{2 ( - 0.0005 )} : \frac{45 + 5 101}{0.001}

二次方程组的解是:

x = - \frac{- 45 + 5 101}{0.001}, x = \frac{45 + 5 101}{0.001}

作图

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