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受欢迎的代数 >

0.90.8521010x*(17-0.5x)=0.8810^5

解答

0.9 \cdot 0.85 \cdot 210 \cdot 10 \cdot x \cdot (17 - 0.5 \cdot x) = 0.88 \cdot 1 0^{5}

解答

x = \frac{27310.5 - 463119410.25}{1606.5}, x = \frac{27310.5 + 463119410.25}{1606.5}

+1

十进制

x = 3.60428 \dots, x = 30.39571 \dots

求解步骤

0.9 \cdot 0.85 \cdot 210 \cdot 10 x (17 - 0.5 x) = 0.88 \cdot 1 0^{5}

展开

0.9 \cdot 0.85 \cdot 210 \cdot 10 x (17 - 0.5 x) : 27310.5 x - 803.25 x^{2}

展开

0.88 \cdot 1 0^{5} : 88000

27310.5 x - 803.25 x^{2} = 88000

将

88000

para o lado esquerdo

27310.5 x - 803.25 x^{2} - 88000 = 0

改写成标准形式

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

- 803.25 x^{2} + 27310.5 x - 88000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 27310.5 \pm 27310. 5 ^{2} - 4 ( - 803.25 ) ( - 88000 )}{2 ( - 803.25 )}

27310. 5^{2} - 4 (- 803.25) (- 88000) = 463119410.25

x_{1, 2} = \frac{- 27310.5 \pm 463119410.25}{2 ( - 803.25 )}

将解分隔开

x_{1} = \frac{- 27310.5 + 463119410.25}{2 ( - 803.25 )}, x_{2} = \frac{- 27310.5 - 463119410.25}{2 ( - 803.25 )}

x = \frac{- 27310.5 + 463119410.25}{2 ( - 803.25 )} : \frac{27310.5 - 463119410.25}{1606.5}

x = \frac{- 27310.5 - 463119410.25}{2 ( - 803.25 )} : \frac{27310.5 + 463119410.25}{1606.5}

二次方程组的解是:

x = \frac{27310.5 - 463119410.25}{1606.5}, x = \frac{27310.5 + 463119410.25}{1606.5}

作图

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