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受欢迎的代数 >

250=-0.01x^2+50x-300

解答

250 = - 0.01 x^{2} + 50 x - 300

解答

x = 50 (50 - 2478), x = 50 (50 + 2478)

+1

十进制

x = 11.02430 \dots, x = 4988.97569 \dots

求解步骤

250 = - 0.01 x^{2} + 50 x - 300

在两边乘以

100

25000 = - x^{2} + 5000 x - 30000

交换两边

- x^{2} + 5000 x - 30000 = 25000

将

25000

para o lado esquerdo

- x^{2} + 5000 x - 55000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5000 \pm 500 0 ^{2} - 4 ( - 1 ) ( - 55000 )}{2 ( - 1 )}

500 0^{2} - 4 (- 1) (- 55000) = 1002478

x_{1, 2} = \frac{- 5000 \pm 100 2478}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 5000 + 100 2478}{2 ( - 1 )}, x_{2} = \frac{- 5000 - 100 2478}{2 ( - 1 )}

x = \frac{- 5000 + 100 2478}{2 ( - 1 )} : 50 (50 - 2478)

x = \frac{- 5000 - 100 2478}{2 ( - 1 )} : 50 (50 + 2478)

二次方程组的解是:

x = 50 (50 - 2478), x = 50 (50 + 2478)

作图

流行的例子

x^{2} - 12 x + 9 = 2 x - 4

- 13 m - m^{2} = 0

25 x^{2} - 50 x - 25 = 0

5 x^{2} - 8 x - 30 = 0

m^{2} + 4 m = - 3