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受欢迎的代数 >

200=-1/6 x^2+100x

解答

200 = - \frac{1}{6} x^{2} + 100 x

解答

x = 20 (15 - 222), x = 20 (15 + 222)

+1

十进制

x = 2.00671 \dots, x = 597.99328 \dots

求解步骤

200 = - \frac{1}{6} x^{2} + 100 x

在两边乘以

6

1200 = - x^{2} + 600 x

交换两边

- x^{2} + 600 x = 1200

将

1200

para o lado esquerdo

- x^{2} + 600 x - 1200 = 0

使用求根公式求解

x_{1, 2} = \frac{- 600 \pm 60 0 ^{2} - 4 ( - 1 ) ( - 1200 )}{2 ( - 1 )}

60 0^{2} - 4 (- 1) (- 1200) = 40222

x_{1, 2} = \frac{- 600 \pm 40 222}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 600 + 40 222}{2 ( - 1 )}, x_{2} = \frac{- 600 - 40 222}{2 ( - 1 )}

x = \frac{- 600 + 40 222}{2 ( - 1 )} : 20 (15 - 222)

x = \frac{- 600 - 40 222}{2 ( - 1 )} : 20 (15 + 222)

二次方程组的解是:

x = 20 (15 - 222), x = 20 (15 + 222)

作图

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