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受欢迎的代数 >

0.58=(-5*10^{-7})x^2+0.0018x+0.0593

解答

0.58 = (- 5 \cdot 1 0^{- 7}) x^{2} + 0.0018 x + 0.0593

解答

x = 1000000 (- - \frac{0.5207}{500000} + 0.00000324 + 0.0018), x = 1000000 (- \frac{0.5207}{500000} + 0.00000324 + 0.0018)

+1

十进制

x = 317.23231 \dots, x = 3282.76768 \dots

求解步骤

0.58 = (- 5 \cdot 1 0^{- 7}) x^{2} + 0.0018 x + 0.0593

展开

(- 5 \cdot 1 0^{- 7}) x^{2} + 0.0018 x + 0.0593 : - \frac{1}{2000000} x^{2} + 0.0018 x + 0.0593

0.58 = - \frac{1}{2000000} x^{2} + 0.0018 x + 0.0593

交换两边

- \frac{1}{2000000} x^{2} + 0.0018 x + 0.0593 = 0.58

将

0.58

para o lado esquerdo

- \frac{1}{2000000} x^{2} + 0.0018 x - 0.5207 = 0

改写成标准形式

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

- \frac{x ^{2}}{2000000} + 0.0018 x - 0.5207 = 0

使用求根公式求解

x_{1, 2} = \frac{- 0.0018 \pm 0.001 8 ^{2} - 4 ( - \frac{1}{2000000} ) ( - 0.5207 )}{2 ( - \frac{1}{2000000} )}

0.001 8^{2} - 4 (- \frac{1}{2000000}) (- 0.5207) = 0.00000324 - \frac{0.5207}{500000}

x_{1, 2} = \frac{- 0.0018 \pm 0.00000324 - \frac{0.5207}{500000}}{2 ( - \frac{1}{2000000} )}

将解分隔开

x_{1} = \frac{- 0.0018 + 0.00000324 - \frac{0.5207}{500000}}{2 ( - \frac{1}{2000000} )}, x_{2} = \frac{- 0.0018 - 0.00000324 - \frac{0.5207}{500000}}{2 ( - \frac{1}{2000000} )}

x = \frac{- 0.0018 + 0.00000324 - \frac{0.5207}{500000}}{2 ( - \frac{1}{2000000} )} : 1000000 (- - \frac{0.5207}{500000} + 0.00000324 + 0.0018)

x = \frac{- 0.0018 - 0.00000324 - \frac{0.5207}{500000}}{2 ( - \frac{1}{2000000} )} : 1000000 (- \frac{0.5207}{500000} + 0.00000324 + 0.0018)

二次方程组的解是:

x = 1000000 (- - \frac{0.5207}{500000} + 0.00000324 + 0.0018), x = 1000000 (- \frac{0.5207}{500000} + 0.00000324 + 0.0018)

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