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受欢迎的代数 >

-0.8x^2+160x-3000=0

解答

- 0.8 x^{2} + 160 x - 3000 = 0

解答

x = 25 (4 - 10), x = 25 (4 + 10)

+1

十进制

x = 20.94305 \dots, x = 179.05694 \dots

求解步骤

- 0.8 x^{2} + 160 x - 3000 = 0

在两边乘以

10

- 8 x^{2} + 1600 x - 30000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1600 \pm 160 0 ^{2} - 4 ( - 8 ) ( - 30000 )}{2 ( - 8 )}

160 0^{2} - 4 (- 8) (- 30000) = 40010

x_{1, 2} = \frac{- 1600 \pm 400 10}{2 ( - 8 )}

将解分隔开

x_{1} = \frac{- 1600 + 400 10}{2 ( - 8 )}, x_{2} = \frac{- 1600 - 400 10}{2 ( - 8 )}

x = \frac{- 1600 + 400 10}{2 ( - 8 )} : 25 (4 - 10)

x = \frac{- 1600 - 400 10}{2 ( - 8 )} : 25 (4 + 10)

二次方程组的解是:

x = 25 (4 - 10), x = 25 (4 + 10)

作图

流行的例子

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- 5 x^{2} + 250 x - 3000 = 0

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