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受欢迎的代数 >

13744/100 x^2+54977/100 x+122500=0

解答

\frac{13744}{100} x^{2} + \frac{54977}{100} x + 122500 = 0

解答

x = - \frac{54977}{27488} + i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}, x = - \frac{54977}{27488} - i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}

求解步骤

\frac{13744}{100} x^{2} + \frac{54977}{100} x + 122500 = 0

在两边乘以

100

13744 x^{2} + 54977 x + 12250000 = 0

两边除以

13744

\frac{13744 x ^{2}}{13744} + \frac{54977 x}{13744} + \frac{12250000}{13744} = \frac{0}{13744}

改写成标准形式

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

x^{2} + \frac{54977 x}{13744} + \frac{765625}{859} = 0

使用求根公式求解

x_{1, 2} = \frac{- \frac{54977}{13744} \pm ( \frac{54977}{13744} ) ^{2} - 4 \cdot 1 \cdot \frac{765625}{859}}{2 \cdot 1}

化简

(\frac{54977}{13744})^{2} - 4 \cdot 1 \cdot \frac{765625}{859} : i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}

x_{1, 2} = \frac{- \frac{54977}{13744} \pm i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- \frac{54977}{13744} + i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1}, x_{2} = \frac{- \frac{54977}{13744} - i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1}

x = \frac{- \frac{54977}{13744} + i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1} : - \frac{54977}{27488} + i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}

x = \frac{- \frac{54977}{13744} - i - \frac{5497 7 ^{2}}{188897536} + \frac{3062500}{859}}{2 \cdot 1} : - \frac{54977}{27488} - i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}

二次方程组的解是:

x = - \frac{54977}{27488} + i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}, x = - \frac{54977}{27488} - i \frac{\frac{3062500}{859} - \frac{5497 7 ^{2}}{188897536}}{2}

作图

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