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受欢迎的代数 >

3000-70w=100w-w^2

解答

3000 - 70 w = 100 w - w^{2}

解答

w = 20, w = 150

求解步骤

3000 - 70 w = 100 w - w^{2}

交换两边

100 w - w^{2} = 3000 - 70 w

将

70 w

para o lado esquerdo

- w^{2} + 170 w = 3000

将

3000

para o lado esquerdo

- w^{2} + 170 w - 3000 = 0

使用求根公式求解

w_{1, 2} = \frac{- 170 \pm 17 0 ^{2} - 4 ( - 1 ) ( - 3000 )}{2 ( - 1 )}

17 0^{2} - 4 (- 1) (- 3000) = 130

w_{1, 2} = \frac{- 170 \pm 130}{2 ( - 1 )}

将解分隔开

w_{1} = \frac{- 170 + 130}{2 ( - 1 )}, w_{2} = \frac{- 170 - 130}{2 ( - 1 )}

w = \frac{- 170 + 130}{2 ( - 1 )} : 20

w = \frac{- 170 - 130}{2 ( - 1 )} : 150

二次方程组的解是:

w = 20, w = 150

作图

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