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受欢迎的代数 >

-0.003x^2+0.2x+3=0

解答

- 0.003 x^{2} + 0.2 x + 3 = 0

解答

x = - \frac{10 ( 190 - 10 )}{3}, x = \frac{10 ( 10 + 190 )}{3}

+1

十进制

x = - 12.61349 \dots, x = 79.28016 \dots

求解步骤

- 0.003 x^{2} + 0.2 x + 3 = 0

在两边乘以

1000

- 3 x^{2} + 200 x + 3000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 200 \pm 20 0 ^{2} - 4 ( - 3 ) \cdot 3000}{2 ( - 3 )}

20 0^{2} - 4 (- 3) \cdot 3000 = 20190

x_{1, 2} = \frac{- 200 \pm 20 190}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- 200 + 20 190}{2 ( - 3 )}, x_{2} = \frac{- 200 - 20 190}{2 ( - 3 )}

x = \frac{- 200 + 20 190}{2 ( - 3 )} : - \frac{10 ( 190 - 10 )}{3}

x = \frac{- 200 - 20 190}{2 ( - 3 )} : \frac{10 ( 10 + 190 )}{3}

二次方程组的解是:

x = - \frac{10 ( 190 - 10 )}{3}, x = \frac{10 ( 10 + 190 )}{3}

作图

流行的例子

r^{2} + 12 = 0

5 x^{2} - 20 x = 60

x^{2} + 12 x - 6 = 5

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(x + 9)^{2} = 16