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受欢迎的代数 >

0=-0.2q^2+250q-75000

解答

0 = - 0.2 q^{2} + 250 q - 75000

解答

q = 500, q = 750

求解步骤

0 = - 0.2 q^{2} + 250 q - 75000

在两边乘以

10

0 = - 2 q^{2} + 2500 q - 750000

交换两边

- 2 q^{2} + 2500 q - 750000 = 0

使用求根公式求解

q_{1, 2} = \frac{- 2500 \pm 250 0 ^{2} - 4 ( - 2 ) ( - 750000 )}{2 ( - 2 )}

250 0^{2} - 4 (- 2) (- 750000) = 500

q_{1, 2} = \frac{- 2500 \pm 500}{2 ( - 2 )}

将解分隔开

q_{1} = \frac{- 2500 + 500}{2 ( - 2 )}, q_{2} = \frac{- 2500 - 500}{2 ( - 2 )}

q = \frac{- 2500 + 500}{2 ( - 2 )} : 500

q = \frac{- 2500 - 500}{2 ( - 2 )} : 750

二次方程组的解是:

q = 500, q = 750

作图

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