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受欢迎的代数 >

17500=600x-5x^2

解答

17500 = 600 x - 5 x^{2}

解答

x = 50, x = 70

求解步骤

17500 = 600 x - 5 x^{2}

交换两边

600 x - 5 x^{2} = 17500

将

17500

para o lado esquerdo

600 x - 5 x^{2} - 17500 = 0

改写成标准形式

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

- 5 x^{2} + 600 x - 17500 = 0

使用求根公式求解

x_{1, 2} = \frac{- 600 \pm 60 0 ^{2} - 4 ( - 5 ) ( - 17500 )}{2 ( - 5 )}

60 0^{2} - 4 (- 5) (- 17500) = 100

x_{1, 2} = \frac{- 600 \pm 100}{2 ( - 5 )}

将解分隔开

x_{1} = \frac{- 600 + 100}{2 ( - 5 )}, x_{2} = \frac{- 600 - 100}{2 ( - 5 )}

x = \frac{- 600 + 100}{2 ( - 5 )} : 50

x = \frac{- 600 - 100}{2 ( - 5 )} : 70

二次方程组的解是:

x = 50, x = 70

作图

流行的例子

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